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Books on the topic 'Yang-Mills theory; Gauge theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 February 2022

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1

Noncovariant gauges: Quantization of Yang-Mills and Chern-Simons theory in axial-type gauges. Singapore: World Scientific, 1994.

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2

G, Nardelli, and Soldati R, eds. Yang-Mills theories in algebraic non-covariant gauges: Canonical quantization and renormalization. Singapore: World Scientific, 1991.

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3

service), SpringerLink (Online, ed. On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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4

Poenaru, Valentin. Introduzione alla geometria e alla topologia dei campi di Yang-Mills. Palermo: Sede della Società, 1986.

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5

Poenaru, Valentin. Introduzione alla geometria e alla topologia dei campi di Yang-Mills. Palermo: Circolo matematico di Palermo, 1986.

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6

Hsu, J. P. Space-time symmetry and quantum Yang-Mills gravity: How space-time translational gauge symmetry enables the unification of gravity with other forces. New Jersey: World Scientific, 2013.

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7

Yang-Mills fields and extension theory. Providence, R.I., USA: American Mathematical Society, 1987.

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8

Yang-Mills measure on compact surfaces. Providence, R.I: American Mathematical Society, 2003.

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9

The thermodynamics of quantum Yang-Mills theory: Theory and applications. Singapore: World Scientific, 2012.

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10

1974-, Liu Chiu-Chu Melissa, ed. Yang-Mills connections on orientable and nonorientable surfaces. Providence, R.I: American Mathematical Society, 2009.

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11

Chiang, Yuan-Jen. Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields. Basel: Birkhäuser/Springer, 2013.

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12

Non-Abelian cohomology theory and applications to the Yang-Mills & Bäcklund problems. Singapore: World Scientific, 1994.

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13

Shnider, S. Supermanifolds, super twistor spaces, and super Yang-Mills fields. Montréal, Québec, Canada: Presses de l'Université de Montréal, 1989.

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14

Mason, L. J. Integrability, self-duality, and twister theory. Oxford: Clarendon Press, 1996.

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15

Global regularity for the Yang-Mills equations on high dimensional Minkowski space. Providence, Rhode Island: American Mathematical Society, 2013.

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16

Two-dimensional Markovian holonomy fields. Paris: Societé mathématique de France, 2010.

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17

Spectral theory and geometric analysis: An international conference in honor of Mikhail Shubin's 65th birthday, July 29 - August 2, 2009, Northeastern University, Boston, Massachusetts. Providence, R.I: American Mathematical Society, 2010.

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18

Wentworth, Richard A., Duong H. Phong, Paul M. N. Feehan, Jian Song, and Ben Weinkove. Analysis, complex geometry, and mathematical physics: In honor of Duong H. Phong : May 7-11, 2013, Columbia University, New York, New York. Providence, Rhode Island: American Mathematical Society, 2015.

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19

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Renormalisation of Yang–Mills Theory and BRST Symmetry. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0018.

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20

60 Years of Yang-Mills Gauge Field Theories: C N Yang's Contributions to Physics. World Scientific Publishing Co Pte Ltd, 2016.

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21

Huber, Markus Q. On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions. Springer, 2012.

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22

Huber, Markus Q. On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions. Springer, 2014.

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23

Uhlenbeck Compactness (EMS Series of Lectures in Mathematics). European Mathematical Society, 2003.

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24

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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25

Mercati, Flavio. Relativity Without Relativity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0007.

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This chapter describes the program, dubbed ‘Relativity without Relativity’, of deriving all the fundamental accepted facts at the basis of modern field theory from relational principles. A best-matching action based on Jacobi’s principle is in fact sufficient to derive the universality of the light cone (Special Relativity), the correct form of Maxwell’s action and its gauge invariance, as well as the Yang–Mills theory. Faraday is credited with the introduction of the concept of field in physics. He found it extremely useful, in particular for the description of magnetic phenomena, to use the concept of lines of force (1830s).
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26

't, Hooft G., ed. 50 years of Yang-Mills theory. Hackensack, NJ: World Scientific, 2005.

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27

't Hooft, Gerardus. 50 Years of Yang-Mills Theory. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/5601.

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28

50 years of Yang-Mills theory. Singapore: World Scientific, 2005.

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29

Kachelriess, Michael. Quantum Fields. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.001.0001.

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This book introduces quantum field theory, together with its most important applications to cosmology and astroparticle physics, in a coherent framework. The path-integral approach is employed right from the start, and the use of Green functions and generating functionals is illustrated first in quantum mechanics and then in scalar field theory. Massless spin one and two fields are discussed on an equal footing, and gravity is presented as a gauge theory in close analogy with the Yang–Mills case. Concepts relevant to modern research such as helicity methods, effective theories, decoupling, or the stability of the electroweak vacuum are introduced. Various applications such as topological defects, dark matter, baryogenesis, processes in external gravitational fields, inflation and black holes help students to bridge the gap between undergraduate courses and the research literature.
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30

(Assistant), M. Furuta, and D. Kotschick (Assistant), eds. Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics). Cambridge University Press, 2002.

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31

The Mass Gap And Its Applications. World Scientific Publishing Co Pte Ltd, 2013.

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32

New Developments in Low-energy Physics Research. Nova Science Pub Inc, 2012.

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33

Andersson, S. I. Non-Abelian Cohomology Theory and Application to the Yang-Mills and Backlund Problems. World Scientific Pub Co Inc, 1996.

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34

1950-, Mabuchi Toshiki, Mukai Shigeru 1953-, and International Tanaguchi Symposium (27th : 1990 : Sanda-shi, Japan), eds. Einstein metrics and Yang-Mills connections: Proceedings of the 27th Taniguchi international symposium. New York: M. Dekker, 1993.

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35

Garrity, Thomas A. Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell to Yang-Mills. Cambridge University Press, 2015.

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36

Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell to Yang-Mills. Cambridge University Press, 2015.

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37

100 years of gravity and accelerated frames: The deepest insights of Einstein and Yang-Mills. Singapore: World Scientific, 2005.

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38

P, Hsu J., and Fine Dana, eds. 100 years of gravity and accelerated frames: The deepest insights of Einstein and Yang-Mills. New Jersey: World Scientific, 2005.

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39

Weatherall, James Owen. Category Theory and the Foundations of Classical Space–Time Theories. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198748991.003.0013.

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I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newtonian gravitation, general relativity, and Yang–Mills theories. In particular, the chapter explains how the Baez–Bartel–Dolan framework for classifying forgetful functors provides a precise way of saying when one formulation of a physical theory posits more or less structure than another, and also when two theories posit equivalent amounts of structure.
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