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A necessary and sufficient condition for the softness of the trace of the energy-momentum tensor

Journal Article · · Lettere al Nuovo Cimento
DOI:https://doi.org/10.1007/bf02774119· OSTI ID:4732311
 [1]
  1. Univ. of Pittsburgh, PA (United States); Freie Univ., Berlin (Germany)
+ Show Author Affiliations
Here we show in a direct fashion that the asymptotic softness for the trace of the correct renormalized energy momentum tensor is equivalent with the coupling constant being equal to a Gell-Mann Low eigenvalue. From the softness of the trace one obtains the asymptotic conformal invariance at the Gell-Mann Low eigenvalue. For coupling constants different from this special value we only obtain the softness of the integral over the trace which leads just to asymptotic dilatation invariance.
Research Organization:
Univ. of Pittsburgh, PA (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-26-001067
OSTI ID:
4732311
Alternate ID(s):
OSTI ID: 4727427
Report Number(s):
NYO--3829-77
Journal Information:
Lettere al Nuovo Cimento, Journal Name: Lettere al Nuovo Cimento Journal Issue: 17 Vol. 2; ISSN 1827-613X
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (7)

Gauge invariance in quantum electrodynamics journal March 1969
A new improved energy-momentum tensor journal July 1970
Non-Lagrangian Models of Current Algebra journal March 1969
Asymptotic Sum Rules at Infinite Momentum journal March 1969
On Gauge Invariance and Vacuum Polarization journal June 1951
Renormalization Group and Strong Interactions journal April 1971
Locally Generated Dilatation Charge in the Thirring Model journal April 1971

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Related Subjects

ENERGY
MOMENTUM
QUANTUM FIELD THEORY
Quantum Field Theory
TENSORS
Theoretical Physics