References
R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd ed., Addison Wesley, 1985.
A. A. Abrikosov, L. P. Gorkov, and I. E. Dzalosinski, Methods of Quantum Field theory in Statistical Physics, Prentice-Hall, 1963.
O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vols. I, II, Springer-Verlag, 1981–1987.
Y. Choquet-Bruhat, General Relativity and the Einstein Equations, Oxford University Press, 2009.
K. Costello, Renormalization and Effective Field Theory, AMS, 2011.
P. Deligne, et al. (eds.), Quantum Fields and Strings: A Course for Mathematicians, Vols. 1, 2, AMS, 1999.
J. Dimock, Quantum Mechanics and Quantum Field Theory: A Mathematical Primer, Cambridge University Press, 2011.
G. B. Folland, Quantum Field Theory: A Tourist Guide for Mathematicians, AMS, 2008.
T. Gannon, Monstrous moonshine and the classification of CFT, arXiv:math/9906167.
J. Glimm and A. Jaffe, Quantum Physics. A Functional Integral Point of View, Springer-Verlag, 1987.
R. Haag, Local Quantum Physics: Fields, Particles, Algebras, Springer-Verlag, 1992.
K. Hepp, On the connection between the LSZ and Wightman Quantum Field Theory, Commun. Math. Phys. 1: 95–111, 1965.
C. Itzykson and J.-M. Drouffe, Statistical Field Theory, Vols. 1–2, Cambridge University Press, 1991.
L. Hoddeson, et al. (eds.), The Rise of the Standard Model: Particle Physics in the 1960’s and 1970’s, Cambridge University Press, 1997.
J. Lurie, On the classification of topological field theories, Current developments in mathematics, International Press, pp. 129–280, 2008.
J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932.
M. Reed and B. Simon, Methods of Modern Mathematical Physics. Vols. I–IV, Academic Press, 1972–1979.
D. Ruelle, Thermodynamic Formalism: The Mathematical Structures of Classical Equilibrium Statistical Mechanics, Addison-Wesley, 1978.
V. Rivasseau, From Perturbative to Constructive Renormalization, Princeton University Press, 1991.
M. Salmhofer, Renormalization: An Introduction, Springer-Verlag, 1999.
S. S. Schweber, QED and the Men Who Made It, Princeton University Press, 1994.
R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That, W. A. Benjamin, 1964.
A. M. Tsvelik, Quantum Field Theory in Condensed Matter Physics, Cambridge University Press, 1995.
M. Veltman, Diagrammatica: The Path to Feynman Diagrams, Cambridge University Press, 1994.
S. Weinberg, The Quantum Theory of Fields, Vols. I–II, Cambridge University Press, 1996–1996.
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(Klaas) Landsman, N.P. Mathematical Aspects of Quantum Field Theory by Edson de Faria and Welington de Melo . Math Intelligencer 35, 85–87 (2013). https://doi.org/10.1007/s00283-013-9392-6
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DOI: https://doi.org/10.1007/s00283-013-9392-6