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Publié le 14 mars 2023

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1

Bonora, L., G. Mussardo, A. Schwimmer, L. Girardello et M. Martellini, dir. Integrable Quantum Field Theories. Boston, MA : Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0.

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2

Ibort, L. A., et M. A. Rodríguez, dir. Integrable Systems, Quantum Groups, and Quantum Field Theories. Dordrecht : Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1980-1.

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3

GIFT, International Seminar on Recent Problems in Mathematical Physics (23rd 1992 Salamanca Spain). Integrable systems, quantum groups, and quantum field theories. Dordrecht : Kluwer Academic, 1993.

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4

Ibort, L. A. Integrable Systems, Quantum Groups, and Quantum Field Theories. Dordrecht : Springer Netherlands, 1993.

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5

G, Matinyan S., Gurzadyan V. G. 1955- et Sedrakian A. G, dir. From integrable models to gauge theories : A volume in honor of Sergei Matinyan. River Edge, NJ : World Scientific, 2002.

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6

Z, Horváth, et Palla L, dir. Conformal field theories and integrable models : Lectures held at the Eötvös Graduate course, Budapest, Hungary 13-18 August 1996. Berlin : Springer, 1997.

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7

Iohara, Kenji. Symmetries, Integrable Systems and Representations. London : Springer London, 2013.

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8

Changrim, Ahn, Rim C et Sasaki R, dir. Integrable quantum field theories and their applications : Proceedings of the APCTP Winter School : Cheju Island, Korea, 28 February-4 March 2000. River Edge, N.J : World Scientific, 2001.

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9

Motives, quantum field theory, and pseudodifferential operators : Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts. Providence, R.I : American Mathematical Society, 2010.

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10

T, Inami, et Sasaki Ryu, dir. Quantum field theory, integrable models and beyond. Kyoto : Progress of Theoretical Physics, 1995.

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11

A, Kundu, dir. Classical and quantum nonlinear integrable systems : Theory and applications. Bristol : Institute of Physics Pub., 2003.

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12

Pokorski, Stefan. Gauge field theories. Cambridge : Cambridge University Press, 1987.

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13

Young, Bing-lin. Introduction to quantum field theories. Beijing : Science Press, 1987.

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14

Andrea, Cappelli, et Mussardo G, dir. Statistical field theories. Dordrecht : Kluwer Academic Publishers, 2002.

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15

Calaque, Damien, et Thomas Strobl, dir. Mathematical Aspects of Quantum Field Theories. Cham : Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-09949-1.

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16

Trieste Conference on Topological Methods in Quantum Field Theories (1990 June 11-15 Trieste, Italy). Topological methods in quantum field theories. Sous la direction de International Centre for Theoretical Physics., International Atomic Energy Agency et Unesco. Singapore : World Scientific, 1991.

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17

Pokorski, Stefan. Gauge field theories. Cambridge : Cambridge University Press, 1987.

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18

Gauge field theories. 2^e éd. Cambridge, U.K : Cambridge University Press, 2000.

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19

Petrov, Alexey A. Effective field theories. Singapore : World Scientific, 2016.

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20

Form factors in completely integrable models of quantum field theory. Singapore : World Scientific, 1992.

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21

Dynamical symmetry breaking in quantum field theories. Singapore : World Scientific, 1993.

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22

Chowdhury, A. Roy. Lie algebraic methods in integrable systems. Boca Raton : Longman, 2000.

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23

Geometry of nonlinear field theories. Singapore : World Scientific, 1986.

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24

Breitenlohner, Peter, Dieter Maison et Klaus Sibold, dir. Renormalization of Quantum Field Theories with Non-linear Field Transformations. Berlin, Heidelberg : Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0033712.

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25

Society, London Mathematical, dir. Frobenius algebras and 2D topological quantum field theories. Cambridge : Cambridge University Press, 2003.

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26

Conformally invariant quantum field theories in two dimensions. Singapore : World Scientific, 1995.

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27

T, Eguchi, Inami T et Miwa T, dir. Common trends in mathematics and quantum field theories. Kyoto : Progress of Theoretical Physics, 1991.

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28

Pakuliak, S., et G. Gehlen, dir. Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. Dordrecht : Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0670-5.

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29

Hsing-yüan, Kuei, Khanna F. C, Su Zhao-bin 1937- et Workshop on Thermal Field Theories and Their Applications (4th : 1995 : Dalian, China), dir. Thermal field theories and their applications. Singapore : World Scientific, 1996.

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30

A, Takhtadzhi͡an L., Smirnov F. A, Ge M. L et Chao Bao-Heng, dir. Introduction to quantum group and integrable massive models of quantum field theory : Nankai Institute of Mathematics, China, 4-18 May 1989. Singapore : World Scientific, 1990.

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31

1957-, Padmanabhan T., dir. Gravity, gauge theories, and quantum cosmology. Dordrecht, Holland : Reidel, 1986.

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32

L, Bonora, North Atlantic Treaty Organization. Scientific Affairs Division. et NATO Advanced Research Workshop on Integrable Quantum Field Theories (1992 : Como, Italy), dir. Integrable quantum field theories. New York : Plenum Press, 1993.

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33

Integrable Quantum Field Theories. Springer, 2013.

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34

Schwimmer, A., L. Girardello, M. Martellini, L. Bonora et Giuseppe Mussardo. Integrable Quantum Field Theories. Springer, 2013.

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35

Integrable Quantum Field Theories and Their Applications. World Scientific Publishing Company, 2002.

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36

Horvath, Zalan. Conformal Field Theories and Integrable Models. Springer, 2013.

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37

Integrable Quantum Field Theories and Statistical Models : Yang-Baxter and Kac-Moody Algebras. World Scientific Pub Co Inc, 2000.

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38

Local Operators in Integrable Models. American Mathematical Society, 2021.

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39

Iohara, Kenji, Sophie Morier-Genoud et Bertrand Rémy. Symmetries, Integrable Systems and Representations. Springer, 2012.

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40

Iohara, Kenji, Sophie Morier-Genoud et Bertrand Rémy. Symmetries, Integrable Systems and Representations. Springer, 2015.

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41

Conformal Field Theories and Integrable Models : Lectures Held at the Eotvos Graduate Course, Budapest, Hungary, 13-18 August 1996 (Lecture Notes in Physics). Springer, 1997.

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42

Path Integrals : And Their Applications in Quantum, Statistical and Solid State Physics. Springer, 2013.

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43

Devreese, J. T., et George J. Papadopoulos. Path Integrals : And Their Applications in Quantum, Statistical and Solid State Physics. Springer, 2013.

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44

Zinn-Justin, Jean. Quantum Field Theory and Critical Phenomena. 5^e éd. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.001.0001.

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Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamic (QED) has been the first example of a quantum field theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. In fact, as hopefully this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, although excellent textbooks about QFT had already been published, I thought, many years ago, that it might not be completely worthless to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group (RG) properties are systematically discussed. The notion of effective field theory (EFT) and the emergence of renormalizable theories are described. The consequences for fine-tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised.

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45

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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46

Integrable Sys Quantum Field Theory. Elsevier, 1989. http://dx.doi.org/10.1016/c2009-0-21661-8.

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47

Baulieu, Laurent, John Iliopoulos et Roland Sénéor. From Classical to Quantum Fields. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.001.0001.

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Quantum field theory has become the universal language of most modern theoretical physics. This book is meant to provide an introduction to this subject with particular emphasis on the physics of the fundamental interactions and elementary particles. It is addressed to advanced undergraduate, or beginning graduate, students, who have majored in physics or mathematics. The ambition is to show how these two disciplines, through their mutual interactions over the past hundred years, have enriched themselves and have both shaped our understanding of the fundamental laws of nature. The subject of this book, the transition from a classical field theory to the corresponding Quantum Field Theory through the use of Feynman’s functional integral, perfectly exemplifies this connection. It is shown how some fundamental physical principles, such as relativistic invariance, locality of the interactions, causality and positivity of the energy, form the basic elements of a modern physical theory. The standard theory of the fundamental forces is a perfect example of this connection. Based on some abstract concepts, such as group theory, gauge symmetries, and differential geometry, it provides for a detailed model whose agreement with experiment has been spectacular. The book starts with a brief description of the field theory axioms and explains the principles of gauge invariance and spontaneous symmetry breaking. It develops the techniques of perturbation theory and renormalisation with some specific examples. The last Chapters contain a presentation of the standard model and its experimental successes, as well as the attempts to go beyond with a discussion of grand unified theories and supersymmetry.

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48

Horváth, Zalán, et László Palla, dir. Conformal Field Theories and Integrable Models. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0105276.

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49

Kundu, A. Classical and Quantum Nonlinear Integrable Systems : Theory and Application. Taylor & Francis Group, 2019.

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50

Kundu, A. Classical and Quantum Nonlinear Integrable Systems : Theory and Application. Taylor & Francis Group, 2019.

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