A chirally symmetric effective action for vector and axial vector fields in a global color symmetry model of QCD

Journal Article · Sun Jan 01 04:00:00 EST 1989 · Int. J. Mod. Phys. A; (United States)

DOI:https://doi.org/10.1142/S0217751X89000674· OSTI ID:5841434

Roberts, C D; Praschifka, J; Cahill, R T

The authors consider the quantum field theory of a model of an extended Nambu-Jona-Lasinio type with a QCD based nonlocal fermion current-current interaction which has global SU(N/sub c/) symmetry. They obtain an exact bosonization of this model in four euclidean dimensions using auxiliary bilocal fields and discuss the dynamical breakdown of chiral symmetry in the massless fermion limit. A local field bosonization is obtained by decomposing the bilocal fields in terms of complete orthonormal sets of functions with the expansion coefficients, which are local functions, identified as the local meson fields. Retaining the ground state pseudoscalar, vector and pseudovector local fields they obtain a local effective action for this sector of the theory. The derivative expansion of the fermionic determinant necessary to obtain this local action is self-regularizing because of the bilocal substructure present in the model which is manifest in the form factors that are associated with the local fields. In their local action the value of each coefficient depends critically on the underlying fermionic dynamics through these form factors and the vacuum functions. As a consequence of this the vector and pseudovector fields in the theory are best interpreted as simple fermion-antifermion bound states rather than as massive Yang-Mills fields or exotic composites of the pseudoscalars; interpretations that they find are not in general admitted when models such as the GCM are treated correctly.

• Research Organization: Flinders Univ. of South Australia, Bedford Park (Australia). School of Physical Sciences
• OSTI ID: 5841434
• Journal Information: Int. J. Mod. Phys. A; (United States), Journal Name: Int. J. Mod. Phys. A; (United States) Vol. 4:7; ISSN IMPAE
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL VECTOR MESONS
BOSONS
CHIRAL SYMMETRY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SYMMETRY
SYMMETRY BREAKING
YANG-MILLS THEORY