Trace and dilation anomalies in gauge theories

Journal Article · Fri Jul 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.16.438· OSTI ID:7288895

Collins, J C; Duncan, A; Joglekar, S D

The form of the anomaly in the trace of the energy-momentum tensor in a general theory of interacting fermions and non-Abelian gauge bosons is derived. The result is shown to involve precisely those gauge-variant operators which are known to mix with the naive trace under renormalization. The trace is shown to be soft on the mass shell if and only if the theory is at an eigenvalue of the Callan-Symanzik ..beta.. function. The dilatation anomaly in the matrix element of theta/sup lambda /lambda with two electromagnetic currents (to lowest order in electromagnetism, but including all orders of the strong gauge interaction) is derived and shown to be infinitely renormalized in finite orders of strong perturbation theory. This anomaly is then shown to be canonical and given precisely by the lowest-order result provided the strong interactions are summed to all orders before going to the limit of physical space-time dimensions.

• Research Organization: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
• OSTI ID: 7288895
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
EIGENVALUES
ENERGY-MOMENTUM TENSOR
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INTERACTIONS
INVARIANCE PRINCIPLES
MATRIX ELEMENTS
PERTURBATION THEORY
RENORMALIZATION
SPACE-TIME
STRONG INTERACTIONS
TENSORS