Differential vertex operations in Lagrangian field theory

Journal Article · Mon Mar 01 00:00:00 UTC 1971 · Communications in Mathematical Physics

DOI: https://doi.org/10.1007/bf01907030 · OSTI ID:4714283

Lowenstein, J. H. ^[1]

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1. Univ. of Pittsburgh, PA (United States)

A general framework is derived for studying differential operations in renormalized perturbation theory. The method makes possible a simple, unified derivation of the renormalization group and Callan-Symanzik equations, as well as a direct test for broken symmetries (including broken scale invariance), without the necessity of defining currents and deriving their generalized Ward identites. A second-order differential equation of the Callan-Symanzik type is derived using similar methods.

• Research Organization: Univ. of Pittsburgh, PA (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-25-045797
• OSTI ID: 4714283
• Report Number(s): NYO--3829-72
• Journal Information: Communications in Mathematical Physics, Journal Name: Communications in Mathematical Physics Journal Issue: 1 Vol. 24; ISSN 0010-3616
• Publisher: SpringerCopyright Statement
• Country of Publication: United States
• Language: English