Currents and energy-momentum tensor in the chiral Schwinger model with general vector and axial-vector couplings

Journal Article · Tue Jan 15 00:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.580· OSTI ID:6142930

Lee, D; Lee, S ^[1]

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1. Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China (CN)

Using the point-splitting procedure and the method of functional integration, we define currents in the chiral Schwinger model and compute the correlation funtions of currents with themselves and with the fundamental fields. We show that the ambiguities in the choice of the phase factor employed in the point-splitting procedure can be compensated by mixing of the currents with the gauge potential {ital A}{sub {mu}} and {epsilon}{sub {mu}{nu}}{ital A}{sup {nu}}. A three-parameter family of conserved currents is found and the transformations they generate are identified. In order to construct the conserved energy-momentum tensor, it is necessary to allow for mixings with {ital A}{sub {mu}}{ital A{nu}} and {ital g}{sub {mu}{nu}}{ital A{alpha}}{ital A}{sup {alpha}}. We compute the two-point function of the energy-momentum tensor and the correlation functions of it with the fundamental fields. The physics of the chiral model is discussed in comparison with the vector model.

• OSTI ID: 6142930
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 43:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SCHWINGER-TOMONAGA FORMALISM
AXIAL-VECTOR CURRENTS
CHIRAL SYMMETRY
VECTOR CURRENTS
CORRELATION FUNCTIONS
COUPLING CONSTANTS
ENERGY-MOMENTUM TENSOR
EQUATIONS OF MOTION
FERMIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
LAGRANGIAN FUNCTION
PERTURBATION THEORY
PROPAGATOR
QUANTIZATION
QUANTUM CHROMODYNAMICS
SPACE-TIME
ALGEBRAIC CURRENTS
BOSONS
CURRENTS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SYMMETRY
TENSORS
645400* - High Energy Physics- Field Theory