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Books on the topic 'Non-perturbative theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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1

Non-perturbative renormalization. World Scientific, 2008.

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2

Millington, Peter. Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-01186-8.

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3

B, Abdalla M. Cristina, and Rothe Klaus D, eds. Non-perturbative methods in 2 dimensional quantum field theory. 2nd ed. World Scientific, 2001.

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4

B, Abdalla M. Cristina, and Rothe Klaus D, eds. Non-perturbative methods in 2 dimensional quantum field theory. World Scientific Pub., 1991.

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5

Boccaletti, Dino. Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods. Springer Berlin Heidelberg, 1996.

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6

Jacob, Sonnenschein, ed. Non-perturbative field theory: From two dimensional conformal field theory to QCD in four dimensions. Cambridge University Press, 2009.

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7

Xiang-Qian, Luo, and Gregory Eric B, eds. Non-perturbative methods and lattice QCD: Proceedings of the international workshop. World Scientific, 2001.

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8

Marino, Marcos. Instantons and large N: An introduction to non-perturbative methods in quantum field theory. Cambridge University Press, 2015.

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9

Non-perturbative quantum field theory: Mathematical aspects and applications : selected papers of Jürg Fröhlich. World Scientific, 1992.

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10

M, Jamin, ed. Non-perturbative particle theory & experimental tests: Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 20 : Heidelberg, 1996 (June 27-29). World Scientific, 1997.

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11

Workshop on Non-Perturbative QCD (6th 2001 Paris, France). Proceedings of the Sixth Workshop on Non-Perturbative QCD: Paris, France, 5-9 June 2001. Edited by Fried H. M, Gabellini Y, and Müller Berndt 1950-. World Scientific, 2002.

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12

Johns Hopkins Workshop on Current Problems in Particle Theory (24th : 2000 : Budapest, Hungary), ed. Non-perturbative qft methods and their applications: Proceedings of the 24th Johns Hopkins Workshop, Bolyai College, Budapest, Hungary, 19-21 August 2000. World Scientific, 2001.

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13

Z, Horváth, and Palla L, eds. Non-perturbative QFT methods and their applications: Proceedings of the Johns Hopkins Workshop on current problems in particle theory 24, Budapest, 2000 (August 19-21). World Scientific, 2001.

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14

International Workshop on Light-Front Quantization and Non-Perturbative Dynamics (4th 1994 Polana Zgorzelisko, Poland). Theory of hadrons and light-front QCD: Proceedings of the fourth International Workshop on Light-Front Quantization and Non-Perturbative Dynamics : held at Polana Zgorzelisko in the Tarta [i.e. Tatra] Mountains National Park in Poland, 15-25 August 1994. World Scientific, 1995.

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15

Vescovi, Edoardo. Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT. Springer, 2017.

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16

Vescovi, Edoardo. Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT. Springer, 2018.

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17

(Editor), A. Patkos, ed. Non-Perturbative Methods in Quantum Field Theory: Proceedings. World Scientific Pub Co Inc, 1988.

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18

Workshop on Non-Perturbative Quantum Chromodynamics. Birkhäuser, 2011.

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19

Millington, Peter. Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics. Springer, 2013.

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20

Abdalla, Elcio, Maria Cristina Batoni Abdalla, and Klaus Dieter Rothe. Non-Perturbative Methods in 2 Dimensional Quantum Field Theory. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/4678.

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21

Non-Perturbative Methods in Quantum Field Theory: Proceedings of the Conference on Non-Perturbative Methods in Quantum Field Theory. Siofok, Hungary. World Scientific Pub Co Inc, 1987.

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22

Conformal Field Theory: New Non-Perturbative Methods in String and Field Theory. Perseus Books Group, 2000.

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23

Strocchi, Franco. An Introduction to Non-Perturbative Foundations of Quantum Field Theory. Oxford University Press, 2016.

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24

(Editor), H. M. Fried, Y. Gabellini (Editor), and Berndt Muller (Editor), eds. Non-Perturbative QCD Proceedings of the Sixth Workshop. World Scientific Publishing Company, 2002.

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25

(Editor), Yavuz Nutku, Cihan Saclioglu (Editor), and Teoman Turgut (Editor), eds. Conformal Field Theory: New Non-perturbative Methods In String And Field Theory (Frontiers in Physics). Westview Press, 2004.

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26

Sonnenschein, Jacob, and Yitzhak Frishman. Non-Perturbative Field Theory: From Two Dimensional Conformal Field Theory to QCD in Four Dimensions. Cambridge University Press, 2014.

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27

Pucacco, G., and D. Boccaletti. Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods (Astronomy and Astrophysics Library). Springer, 2003.

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28

Kachelriess, Michael. Renormalisation I: Perturbation theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0011.

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After giving an overview about regularisation and renormalisation methods, this chapter shows the calculation of the anomalous magnetic moment of the electron in QED. Using a power counting argument, non-, super- and renormalisable theories are distinguish from one another. The structure of the divergences and perturbative renormalisation is discussed for the case of the λϕ‎4 theory. regularisation methods, renormalisation schemes, anomalous magnetic moment of the electron, power counting, renormalisation of the λϕ‎4 theory.

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29

Mussardo, Giuseppe. Statistical Field Theory. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198788102.001.0001.

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This book is an introduction to statistical field theory, which is an important subject within theoretical physics and a field that has seen substantial progress in recent years. The book covers fundamental topics in great detail and includes areas like conformal field theory, quantum integrability, S-matrices, braiding groups, Bethe ansatz, renormalization groups, Majorana fermions, form factors, the truncated conformal space approach and boundary field theory. It also provides an introduction to lattice statistical models. Many topics are discussed at a fairly advanced level but via a pedagogical approach. In particular, the book presents in a clear way non-perturbative methods of quantum field theories that have become decisive tools in many different areas of statistical and condensed matter physics, and which are currently an essential foundation of the working knowledge of a modern theoretical physicist.

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30

Theory of Hadrons and Light-Front Qcd: Proceedings of the Fourth International Workshop on Light-Front Quantization and Non-Perturbative Dynamics He. World Scientific Publishing Company, 1995.

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31

(Editor), Z. Horvath, and L. Palla (Editor), eds. Non-Perturbative Qft Methods and Their Applications: Proceedings of the 24th Johns Hopkins Workshop Budapest, Hungary 19 - 21 August 2000) (Johns Hopkins ... Problems in Particle Theory//Proceedings). World Scientific Publishing Company, 2001.

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32

C, Pati J., Shafi Q, and Yu Lu, eds. Current topics in condensed matter and particle physics: Non-perturbative phenomena and strongly correlated systems, 19 May-14 June 1991. World Scientific, 1993.

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33

Pati, J., and Q. Shafi. Current Topics in Condensed Matter and Particle Physics: Non-Perturbative Phenomena and Strongly Correlated Systems : 19 May-14 June 1991 (Kathmandu Summer School Lecture Notes). World Scientific Pub Co Inc, 1993.

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34

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. A First Glance at Renormalisation and Symmetry. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0017.

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The fate of the classical symmetries in a quantum field theory after renormalisation. Global symmetries versus gaugec symmetries. The Adler–Bell–Jackiw anomaly. The breaking of scale invariance and the Callan–Symanzik equation. The example of a non-perturbative anomaly.

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35

Campbell, John, Joey Huston, and Frank Krauss. Soft QCD. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199652747.003.0007.

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In Chapter 7, we discuss various aspects of the strong interaction containing a strong non-perturbative or low-scale component. We first briefly summarise the treatment of the total and inelastic cross sections through the analyticity of the scattering amplitude, which leads to the language of Regge poles. We introduce multiple parton interactions, with the underlying theoretical ideas for their description mainly driven by experimental data, before remarking on double parton scattering. Hadronisation, i.e. the transition from the parton of perturbation theory to the observable hadrons, is introduced by first using the idea of fragmentation functions and then discussing two popular phenomenological models describing this transition. We conclude this chapter by remarking on some ideas concerning the description of hadron decays through effective models.

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36

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Supersymmetry, or the Defence of Scalars. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0027.

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The only fields of the Standard Model whose masses are not protected by a symmetry are the scalar fields. Supersymmetry is a symmetry between fermions and bosons which provides precisely such a protection mechanism. This chapter presents a comprehensive study of supersymmetric field theories. In particular, it is shown that they do not suffer from the phenomenon of gauge hierarchy. They have remarkable renormalisation properties and offer the most attractive framework to build a unified theory. The breaking of supersymmetry, both explicit and spontaneous, is studied in detail. The generalisation of electric-magnetic duality in supersymmetric theories yields non-perturbative results and the concept of twist makes possible the study of topological field theories. The supersymmetric extension of the Standard Model is shown to predict the existence of new elementary particles, whose phenomenological properties are analysed.

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37

Muller, Sebastian, and Martin Sieber. Resonance scattering of waves in chaotic systems. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.34.

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This article discusses some applications of random matrix theory (RMT) to quantum or wave chaotic resonance scattering. It first provides an overview of selected topics on universal statistics of resonances and scattering observables, with emphasis on theoretical results obtained via non-perturbative methods starting from the mid-1990s. It then considers the statistical properties of scattering observables at a given fixed value of the scattering energy, taking into account the maximum entropy approach as well as quantum transport and the Selberg integral. It also examines the correlation properties of the S-matrix at different values of energy and concludes by describing other characteristics and applications of RMT to resonance scattering of waves in chaotic systems, including those relating to time delays, quantum maps and sub-unitary random matrices, and microwave cavities at finite absorption.

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38

Tanasa, Adrian. Combinatorial Physics. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895493.001.0001.

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After briefly presenting (for the physicist) some notions frequently used in combinatorics (such as graphs or combinatorial maps) and after briefly presenting (for the combinatorialist) the main concepts of quantum field theory (QFT), the book shows how algebraic combinatorics can be used to deal with perturbative renormalisation (both in commutative and non-commutative quantum field theory), how analytic combinatorics can be used for QFT issues (again, for both commutative and non-commutative QFT), how Grassmann integrals (frequently used in QFT) can be used to proCve new combinatorial identities (generalizing the Lindström–Gessel–Viennot formula), how combinatorial QFT can bring a new insight on the celebrated Jacobian conjecture (which concerns global invertibility of polynomial systems) and so on. In the second part of the book, matrix models, and tensor models are presented to the reader as QFT models. Several tensor model results (such as the implementation of the large N limit and of the double-scaling limit for various such tensor models, N being here the size of the tensor) are then exposed. These results are natural generalizations of results extensively used by theoretical physicists in the study of matrix models and they are obtained through intensive use of combinatorial techniques (this time mainly enumerative techniques). The last part of the book is dedicated to the recently discovered relation between tensor models and the holographic Sachdev–Ye–Kitaev model, model which has been extensively studied in the last years by condensed matter and by high-energy physicists.

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39

Bertola, Marco. Chain of matrices, loop equations, and topological recursion. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.16.

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This article considers the so-called loop equations satisfied by integrals over random matrices coupled in a chain as well as their recursive solution in the perturbative case when the matrices are Hermitian. Random matrices are used in fields such as the study of multi-orthogonal polynomials or the enumeration of discrete surfaces, both of which are based on the analysis of a matrix integral. However, this term can be confusing since the definition of a matrix integral in these two applications is not the same. The article discusses these two definitions, perturbative and non-perturbative, along with their relationship. It first provides an overview of a matrix integral before comparing convergent and formal matrix integrals. It then describes the loop equations and their solution in the one-matrix model. It also examines matrices coupled in a chain plus external field and concludes with a generalization of the topological recursion.

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40

Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and Its Applications (Springer Tracts in Modern Physics). Springer, 2000.

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