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arXiv · hep-th/9908081

Functional Integral in terms of the Field Strength: An Approach to Chiral Symmetry Breaking

N. Tanimura
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Abstract

The chiral symmetry breaking in the 4-dimensional QED with the chirally invariant four-fermion interaction is discussed by using a novel path integral expression in terms of the field-strength tensor. In the local potential approximation, we find that the chiral symmetry is spontaneously broken for any nonzero gauge and four-fermion couplings on the tree level of an auxiliary field $σ$. The present approach allows us to easily include higher orders of the gauge coupling so that the effective potential up to the sixth order is obtained.

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N. Tanimura. 1999-08-11. Functional Integral in terms of the Field Strength: An Approach to Chiral Symmetry Breaking. https://doi.org/10.1143/ptp.103.665

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