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Finite Temperature Schwinger Model

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Statistical Approach to Quantum Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 992))

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Abstract

The study of exactly soluble field theories has always received a good deal of attention in the hope that they might shed some light on more realistic theories.

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Notes

  1. 1.

    Local boundary conditions are in conflict with chiral symmetry. For example, if ψ obeys hermitian bag-boundary conditions, then γ ∗ ψ does not fulfill these conditions; see the analysis in [7].

  2. 2.

    More precisely: A μ defines a connection on a non-trivial U(1) bundle over the two-torus.

  3. 3.

    The explicit calculation of this factor is done in Problem 16.6.

  4. 4.

    if the global symmetry is non-compact then there exists a variant of the theorem.

  5. 5.

    A slightly different constant 0.4329 in place of 0.451 is given in [37].

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  1. Theoretical Physics, Friedrich Schiller University Jena, Jena, Germany

    Andreas Wipf

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Wipf, A. (2021). Finite Temperature Schwinger Model. In: Statistical Approach to Quantum Field Theory. Lecture Notes in Physics, vol 992. Springer, Cham. https://doi.org/10.1007/978-3-030-83263-6_16

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