Nonperturbative results for the mass dependence of the QED fermion determinant

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.107701· OSTI ID:21409800

Fry, M P ^[1]

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1. School of Mathematics, University of Dublin, Trinity College, Dublin 2 (Ireland)

The fermion determinant in four-dimensional quantum electrodynamics in the presence of O(2)xO(3) symmetric background gauge fields with a nonvanishing global chiral anomaly is considered. It is shown that the leading mass singularity of the determinant's nonperturbative part is fixed by the anomaly. It is also shown that for a large class of such fields there is at least one value of the fermion mass at which the determinant's nonperturbative part reduces to its noninteracting value.

• OSTI ID: 21409800
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.107701; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
MASS
O GROUPS
QUANTUM ELECTRODYNAMICS
SINGULARITY
SYMMETRY
DYNAMICAL GROUPS
ELECTRODYNAMICS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SYMMETRY GROUPS