Functional Integral in Terms of the Field Strength: An Approach to Chiral Symmetry Breaking | Zendy

Naoki Tanimura | Zendy

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

Author(s) -

Naoki Tanimura

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.103.665

Subject(s) - physics , chiral anomaly , chiral symmetry breaking , path integral formulation , symmetry breaking , invariant (physics) , spontaneous symmetry breaking , gauge theory , explicit symmetry breaking , tensor (intrinsic definition) , field strength , symmetry (geometry) , mathematical physics , gauge anomaly , gauge symmetry , fermion , quantum electrodynamics , theoretical physics , quantum mechanics , introduction to gauge theory , geometry , mathematics , pure mathematics , magnetic field , quantum

The chiral symmetry breaking in the 4-dimensional QED with the chirallyinvariant four-fermion interaction is discussed by using a novel path integralexpression in terms of the field-strength tensor. In the local potentialapproximation, we find that the chiral symmetry is spontaneously broken for anynonzero gauge and four-fermion couplings on the tree level of an auxiliaryfield $\sigma$. The present approach allows us to easily include higher ordersof the gauge coupling so that the effective potential up to the sixth order isobtained.Comment: 18 pages, 2 figure

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