Relevant bibliographies by topics / Local gauge symmetry

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Local gauge symmetry'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Local gauge symmetry"

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Arag∼ao de Carvalho, C., and L. Baulieu. "Local topological gauge symmetry." Physics Letters B 275, no. 3-4 (1992): 315–22. http://dx.doi.org/10.1016/0370-2693(92)91596-2.

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ABE, M., and N. NAKANISHI. "SUPERSYMMETRIC EXTENSION OF LOCAL LORENTZ SYMMETRY." International Journal of Modern Physics A 04, no. 11 (1989): 2837–59. http://dx.doi.org/10.1142/s0217751x89001138.

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The locally [Formula: see text]-symmetric extension of the vierbein formalism of the Einstein gravity is systematically reconstructed. The superconnection is defined by the requirement that the vierbein supermultiplet and the [Formula: see text] “vielbein” one have vanishing supercovariant derivatives. By using the superconnection, the globally super-invariant gauge-fixing Lagrangian density and the corresponding FP-ghost one are explicitly constructed. Then the theory is shown to be invariant under the extended BRS symmetry corresponding to the local [Formula: see text] symmetry.
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Li, Zhi-Bing, and Xiao-Wei Liu. "Random Neural Network with Local Gauge Symmetry." Communications in Theoretical Physics 18, no. 4 (1992): 495–96. http://dx.doi.org/10.1088/0253-6102/18/4/495.

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Guendelman, E. I., E. Nissimov, and S. Pacheva. "Volume-preserving diffeomorphisms' versus local gauge symmetry." Physics Letters B 360, no. 1-2 (1995): 57–64. http://dx.doi.org/10.1016/0370-2693(95)01109-4.

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FLORES-BAEZ, F. V., J. J. GODINA-NAVA, and G. ORDAZ-HERNANDEZ. "QUANTUM FIELD THEORY TOOLS: A MECHANISM OF MASS GENERATION OF GAUGE FIELDS." International Journal of Modern Physics A 21, no. 06 (2006): 1307–24. http://dx.doi.org/10.1142/s0217751x06025213.

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We present a simple mechanism for mass generation of gauge fields for the Yang–Mills theory, where two gauge SU (N)-connections are introduced to incorporate the mass term. Variations of these two sets of gauge fields compensate each other under local gauge transformations with the local gauge transformations of the matter fields, preserving gauge invariance. In this way the mass term of gauge fields is introduced without violating the local gauge symmetry of the Lagrangian. Because the Lagrangian has strict local gauge symmetry, the model is a renormalizable quantum model. This model, in the appropriate limit, comes from a class of universal Lagrangians which define a new massive Yang–Mills theories without Higgs bosons.
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Eguchi, Tohru, and Hiroaki Kanno. "Five-dimensional gauge theories and local mirror symmetry." Nuclear Physics B 586, no. 1-2 (2000): 331–45. http://dx.doi.org/10.1016/s0550-3213(00)00375-8.

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Govorkov, A. B. "New local formulation of parastatistics and gauge symmetry." Nuclear Physics B 365, no. 2 (1991): 381–403. http://dx.doi.org/10.1016/s0550-3213(05)80026-4.

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Lyakhovich, S. L., and A. A. Sharapov. "Normal forms and gauge symmetry of local dynamics." Journal of Mathematical Physics 50, no. 8 (2009): 083510. http://dx.doi.org/10.1063/1.3193684.

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Jian-Feng, Ma, and Ma Yong-Ge. "Local Poincaré Symmetry in Gauge Theory of Gravity." Communications in Theoretical Physics 51, no. 5 (2009): 843–44. http://dx.doi.org/10.1088/0253-6102/51/5/17.

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Skarke, Harald. "Non-perturbative gauge groups and local mirror symmetry." Journal of High Energy Physics 2001, no. 11 (2001): 013. http://dx.doi.org/10.1088/1126-6708/2001/11/013.

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Dissertations / Theses on the topic "Local gauge symmetry"

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Nahas, Yousra. "Gauge theory for relaxor ferroelectrics." Phd thesis, Ecole Centrale Paris, 2013. http://tel.archives-ouvertes.fr/tel-01003357.

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Concomitantly with lattice disorder, there is a discrepancy between local and global scales in relaxor ferroelectrics, in that structural distortions occurring at the local scale are not reflected in the average global structure which remains cubic. There is an absence of direct implementation of the local symmetry in the modeling of relaxors, despite its considerable, but often unacknowledged, ability to encode local features. Central to the thesis is an explicit account for local gauge symmetry within the first-principles-derived effective Hamiltonian approach. The thesis thus aims to consider how an extended symmetry allowing independent transformations at different points in space can effectively bridge local features and macroscopical properties. An underlying question the thesis also seeks to answer is whether the disorder-induced non-trivial interplay between local and global scales can be described from a topological point of view
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Brading, Katherine. "Symmetries, conservation laws and Noether's variational problem." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.288912.

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Le, Diffon Arnaud. "Supergravités jaugées et symétrie locale d'échelle." Lyon, Ecole normale supérieure, 2010. http://www.theses.fr/2010ENSL0570.

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To address the problem of the unification of the four fundamental interactions, numerous works have been proposed. String theory could be a good answer. Compared to quantum field theory (QFT), describing annihilation and creation of point-particles, string theory describes the dynamics of one-dimensional strings. It has also been found that local supersymmetric field theories, known as supergravities, are low-energy limit of string theories. The use of supersymmetry, which relates bosons and fermions in the same framework, improves the quantum behaviour of field theories, and is necessary to string theory for mathematical consistency reasons. The edification of the standard model of particle physics is based on QFTs with non-abelian gauge symmetries, known as Yang- Mills theories. In the perspective of the unification of the four interactions, supergravities with nonabelian gauge interactions are relevant effective field theories. Using a systematic method to generate non-abelian gauged supergravities, this thesis completes the classification of gauged supergravities by including a local scaling symmetry. The formalism of the embedding tensor is used to build a local gauge group from the global symmetries of supergravity theory. These particular theories including a local scaling symmetry are submitted to new constraints and they do no longer possess an action. Consequently, we are led to build the gauged theory at the level of the equations of motion. An interesting consequence of gauged supergravities with local scaling symmetry is the presence of a positive contribution to the scalar potential in Einstein equations, which could lead to de Sitter vacuum solutions<br>Pour répondre au problème de l'unification des interactions fondamentales, de nombreux travaux ont été proposés, et parmi eux la théorie des cordes. La théorie quantique des champs décrit les annihilations et créations de particules ponctuelles. En revanche, la théorie des cordes décrit la dynamique d'objets unidimensionnels. De plus, les théories des champs présentant unesupersymétrie locale (supergravités) sont des limites de basse énergie de théories de cordes. La supersymétrie, reliant bosons et fermions, améliore considérablement le comportement quantique des théories de champs, et demeure un élément essentiel de la théorie des cordes. La construction du modèle standard de la physique des particules fait appel à la théorie quantique des champs en présence de symétries de jauge non-abéliennes de type Yang-Mills. Dans la perspective d'unifier les interactions, la supergravité en présence de symétries de jauge non abélienne est une théorie effective pertinente. Dans cette thèse, nous complétons la classification des théories de supergravités jaugées en présence d'une symétrie locale d'échelle. Le formalisme de « l'Embedding Tensor » nous permet de construire un groupe de jauge local à partir des symétries globales de la supergravité. Ces théories particulières incluant une symétrie locale d'échelle sont soumises à des contraintes supplémentaires et modifiées, et ne possèdent plus d'action. Par conséquent, nous sommes contraints de travailler avec les équations du mouvement de la théorie. Une conséquence intéressante de ces théories est une contribution positive au potentiel scalaire dans les équations d'Einstein, ce qui serait le signe de solutions de Sitter
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Books on the topic "Local gauge symmetry"

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Kachelriess, Michael. Gauge theories. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0010.

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After reviewing electrodynamics as the special case of an abelian gauge theory, this local symmetry is generalised to non-abelian gauge theories. The curvature of space-time is introduced as analogue of the non-abelian field-strength. Non-abelian gauge theories are quantised using the Fadeev–Popov method and the resulting Feynman rules are derived.
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Iliopoulos, John. Symmetries. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198805175.003.0003.

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The concept of symmetry plays a central role in our understanding of the fundamental laws of Nature. Through a deep mathematical theorem due to A.E. Noether, all conservation laws of classical physics are related to symmetries. In this chapter we start from the intuitively obvious notions of translation and rotation symmetries which are part of the axioms of Euclidian geometry. Following W. Heisenberg, we introduce the idea of isospin as a first example of an internal symmetry. A further abstraction leads to the concept of a global versus local, or gauge symmetry, which is a fundamental property of General Relativity. Combining the notions of internal and gauge symmetries we obtain the Yang-Mills theory which describes all fundamental interactions among elementary particles. A more technical part, which relates a gauge symmetry of the Schrödinger equation of quantum mechanics to the electromagnetic interactions, is presented in a separate section and its understanding is not required for the rest of the book.
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Kachelriess, Michael. Spin-1 and spin-2 fields. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0007.

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Massive and massless spin-1 and spin-2 fields, their field equations and propagators are studied. The connection between local gauge symmetry and the coupling to a conserved current is derived in the massless case. The dynamical stress tensor is defined as source of gravity, and its local conservation is shown. The basic ideas of large extra dimensions is outlined in an appendix.
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Kenyon, Ian R. Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.001.0001.

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This text reviews fundametals and incorporates key themes of quantum physics. One theme contrasts boson condensation and fermion exclusivity. Bose–Einstein condensation is basic to superconductivity, superfluidity and gaseous BEC. Fermion exclusivity leads to compact stars and to atomic structure, and thence to the band structure of metals and semiconductors with applications in material science, modern optics and electronics. A second theme is that a wavefunction at a point, and in particular its phase is unique (ignoring a global phase change). If there are symmetries, conservation laws follow and quantum states which are eigenfunctions of the conserved quantities. By contrast with no particular symmetry topological effects occur such as the Bohm–Aharonov effect: also stable vortex formation in superfluids, superconductors and BEC, all these having quantized circulation of some sort. The quantum Hall effect and quantum spin Hall effect are ab initio topological. A third theme is entanglement: a feature that distinguishes the quantum world from the classical world. This property led Einstein, Podolsky and Rosen to the view that quantum mechanics is an incomplete physical theory. Bell proposed the way that any underlying local hidden variable theory could be, and was experimentally rejected. Powerful tools in quantum optics, including near-term secure communications, rely on entanglement. It was exploited in the the measurement of CP violation in the decay of beauty mesons. A fourth theme is the limitations on measurement precision set by quantum mechanics. These can be circumvented by quantum non-demolition techniques and by squeezing phase space so that the uncertainty is moved to a variable conjugate to that being measured. The boundaries of precision are explored in the measurement of g-2 for the electron, and in the detection of gravitational waves by LIGO; the latter achievement has opened a new window on the Universe. The fifth and last theme is quantum field theory. This is based on local conservation of charges. It reaches its most impressive form in the quantum gauge theories of the strong, electromagnetic and weak interactions, culminating in the discovery of the Higgs. Where particle physics has particles condensed matter has a galaxy of pseudoparticles that exist only in matter and are always in some sense special to particular states of matter. Emergent phenomena in matter are successfully modelled and analysed using quasiparticles and quantum theory. Lessons learned in that way on spontaneous symmetry breaking in superconductivity were the key to constructing a consistent quantum gauge theory of electroweak processes in particle physics.
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Book chapters on the topic "Local gauge symmetry"

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Haag, Rudolf. "Charges, Global Gauge Groups and Exchange Symmetry." In Local Quantum Physics. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61458-3_4.

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"Spontaneously Broken Local Symmetry." In Gauge Theories in Particle Physics: A Practical Introduction, Volume 2: Non-Abelian Gauge Theories. CRC Press, 2012. http://dx.doi.org/10.1201/9781466513105-14.

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FOERSTER, D., H. B. NIELSEN, and M. NINOMIYA. "DYNAMICAL STABILITY OF LOCAL GAUGE SYMMETRY." In Origin of Symmetries. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814329057_0033.

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Zinn-Justin, Jean. "Non-Abelian gauge theories: Introduction." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0022.

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To be able to describe the other fundamental interactions, beyond quantum electrodynamics (QED), weak and strong interactions, it is necessary to generalize the concept of gauge symmetry to non-Abelian groups. Therefore, in this chapter, a quantum field theory (QFT)-invariant under local, that is, space-time-dependent, transformations of matrix representations of a general compact Lie groups are constructed. Inspired by the Abelian example, the geometric concept of parallel transport is introduced, a concept discussed more extensively later in the framework of Riemannian manifolds. All the required mathematical quantities for gauge theories then appear naturally. Gauge theories are quantized in the temporal gauge. The equivalence with covariant gauges is then established. Some formal properties of the quantized theory, like the Becchi–Rouet–Stora–Tyutin (BRST) symmetry, are derived. Feynman rules of perturbation theory are derived, the regularization of perturbation theory is discussed, a somewhat non-trivial problem. Some general properties of the non-Abelian Higgs mechanism are described.
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Zinn-Justin, Jean. "From BRST symmetry to the Zinn-Justin equation." In From Random Walks to Random Matrices. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.003.0014.

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Chapter 14 contains a general discussion of the quantization and renormalization of non–Abelian gauge theories. The quantization necessitates gauge fixing and introduces the Faddeev–Popov determinant. Slavnov–Taylor identities for vertex (one–particle–irreducible (1PI)) functions, the basis of a first proof of renormalizability, follow. The Faddeev–Popov determinant leads to a non–local action. A local form is generated by introducing Faddeev–Popov ghost fields. The new local action has an important new symmetry, the BRST symmetry. However, the explicit realization of the symmetry is not stable under renormalization. By contrast, a quadratic equation that is satisfied by the action and generating functional of 1PI functions, the Zinn–Justin equation, is stable and at the basis of a general proof of the renormalizability of non–Abelian gauge theories. The proof involves some simple elements of BRST cohomology. The renormalized form of BRST symmetry then makes it possible to prove gauge independence and unitarity.
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Kenyon, Ian R. "Symmetry and topology." In Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.003.0013.

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Space-time symmetries, conservation laws and Nöther’s theorem are discussed. The Poincaré group, generators and Casimir invariants are outlined. Local charge conservation and the corresponding U(1) charge symmetry underlying electromagnetism are presented, showing the roles of minimal electromagnetic coupling and gauge transformations. Experimental demonstrations of the Aharonov–Bohm effect are described and the topological interpretation is recounted. How the Aharonov–Casher effect survives in the classical world is mentioned. Berry’s revelation of geometric phase is presented. The Bitter–Dubbers experiment confirming this analysis is presented. Some comments are given on a Hilbert space with a simple topology.
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Buchbinder, Iosif L., and Ilya L. Shapiro. "Classical fields in curved spacetime." In Introduction to Quantum Field Theory with Applications to Quantum Gravity. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198838319.003.0012.

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This chapter discusses classical fields in an arbitrary Riemann spacetime. General considerations are followed by the formulation of scalar fields with non-minimal coupling. Spontaneous symmetry breaking in curved space is shown to provide the induced gravity action with a cosmological constant. The construction of spinor fields in curved spacetime is based on the notions of group theory from Part I and on the local Lorentz invariance. Massless vector fields (massless vector gauge fields) are described and the interactions between scalar, fermion and gauge fields formulated. A detailed discussion of classical conformal transformations and conformal symmetry for both matter fields and vacuum action is also provided.
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Sethna, James P. "Order parameters, broken symmetry, and topology." In Statistical Mechanics: Entropy, Order Parameters, and Complexity. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198865247.003.0009.

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This chapter introduces order parameters -- the reduction of a complex system of interacting particles into a few fields that describe the local equilibrium behavior at each point in the system. It introduces an organized approach to studying a new material system -- identify the broken symmetries, define the order parameter, examine the elementary excitations, and classify the topological defects. It uses order parameters to describe crystals and liquid crystals, superfluids and magnets. It touches upon broken gauge symmetries and the Anderson/Higgs mechanism and an analogue to braiding of non-abelian quantum particles. Exercises explore sound, second sound, and Goldstone’s theorem; fingerprints and soccer balls; Landau theory and other methods for generating emergent theories from symmetries and commutation relations; topological defects in magnets, liquid crystals, and superfluids, and defect entanglement.
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Ben-Menahem, Yemima. "Symmetries and Conservation Laws." In Causation in Science. Princeton University Press, 2018. http://dx.doi.org/10.23943/princeton/9780691174938.003.0005.

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This chapter examines how symmetry principles—despite their a priori appearance—function as causal constraints through their conceptual relation with conservation laws. It first provides an overview of how symmetries are linked to causation by focusing on some of their interconnections with other members of the causal family. It then considers an excellent illustration of the causal function of symmetries in physics, Pauli's exclusion principle, before discussing conservation laws in relation to symmetries. The chapter then explains the distinction between active and passive symmetries, and between global and local symmetries (or geometric versus dynamic symmetries, respectively), as well as gauge theories and the notion of gauge freedom. The chapter concludes with an analysis of Curie's principle and how it is intertwined with symmetries.
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Zinn-Justin, Jean. "Generalized non-linear σ-models in two dimensions." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0029.

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This chapter describes the formal properties, and discusses the renormalization, of quantum field theories (QFT) based on homogeneous spaces: coset spaces of the form G/H, where G is a compact Lie group and H a Lie subgroup. In physics, they appear naturally in the case of spontaneous symmetry breaking, and describe the interaction between Goldstone modes. Homogeneous spaces are associated with non-linear realizations of group representations. There exist natural ways to embed these manifolds in flat Euclidean spaces, spaces in which the symmetry group acts linearly. As in the example of the non-linear σ-model, this embedding is first used, because the renormalization properties are simpler, and the physical interpretation of the more direct correlation functions. Then, in a generic parametrization, the renormalization problem is solved by the introduction of a Becchi–Rouet–Stora–Tyutin (BRST)-like symmetry with anticommuting (Grassmann) parameters, which also plays an essential role in quantized gauge theories. The more specific properties of models corresponding to a special class of homogeneous spaces, symmetric spaces (like the non-linear σ-model), are studied. These models are characterized by the uniqueness of the metric and thus, of the classical action. In two dimensions, from the classical field equations an infinite number of non-local conservation laws can be derived. The field and the unique coupling renormalization group (RG) functions are calculated at one-loop order, in two dimensions, and shown to imply asymptotic freedom.
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Conference papers on the topic "Local gauge symmetry"

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Liu, Yuzhi, Yannick Meurice, and Shan-Wen Tsai. "Local gauge symmetry on optical lattices?" In The 30th International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.164.0246.

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Kitano, Ryuichiro. "Hidden Local Symmetry as Magnetic Gauge Theory." In Sakata Memorial Workshop on Origin of Mass and Strong Coupling Gauge Theories. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813231467_0033.

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EGUCHI, TOHRU. "LOCAL MIRROR SYMMETRY AND FIVE-DIMENSIONAL GAUGE THEORY." In Proceedings of the 4th KIAS Annual International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799821_0002.

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OJIMA, IZUMI. "LOCAL GAUGE INVARIANCE AND SYMMETRY BREAKING IN CATEGORICAL QFT." In The QBIC Workshop 2014. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811217838_0012.

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Rho, Mannque. "The Proton Mass and Scale-Invariant Hidden Local Symmetry for Compressed Baryonic Matter." In Sakata Memorial Workshop on Origin of Mass and Strong Coupling Gauge Theories. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813231467_0019.

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Xiao, C. W., A. Ozpineci, and E. Oset. "New hidden beauty molecules predicted by the local hidden gauge approach and heavy quark spin symmetry." In Seventh International Symposium on Chiral Symmetry in Hadrons and Nuclei. WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/9789814618229_0039.

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Ko, P., Yuji Omura, and Chaehyun Yu. "Multi-Higgs doublet models with local U(1)H gauge symmetry and neutrino physics therein." In WORKSHOP ON DARK MATTER, NEUTRINO PHYSICS AND ASTROPHYSICS CETUP* 2013: VIIth International Conference on Interconnections between Particle Physics and Cosmology PPC* 2013. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4883433.

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Xiao, Chuwen. "A study of hidden charm with heavy quark spin symmetry and local hidden gauge approach." In XV International Conference on Hadron Spectroscopy. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.205.0056.

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Xiao, Chuwen. "New Hidden beauty molecules predicted by the local hidden gauge approach and heavy quark spin symmetry." In XV International Conference on Hadron Spectroscopy. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.205.0199.

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Ko, Pyungwon. "Toward electroweak scale cold dark matter with local dark gauge symmetry and beyond the DM EFT." In CETUP* 2015 – WORKSHOP ON DARK MATTER, NEUTRINO PHYSICS AND ASTROPHYSICS AND PPC 2015 – IXTH INTERNATIONAL CONFERENCE ON INTERCONNECTIONS BETWEEN PARTICLE PHYSICS AND COSMOLOGY. Author(s), 2016. http://dx.doi.org/10.1063/1.4953275.

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