Abstract
The effective Lagrangian which gives a full solution of the U(1) problem is obtained from the 1/N expansion of quantum chromodynamics. This Lagrangian satisfies all the anomalous n-point Ward identities for arbitrary q2, and includes chiral and SU(3) breaking. The relationship between the η′ mass and the θ dependence of the vacuum energy in the absence of quarks and the form of the strong CP violation in the effective-Lagrangian framework are deduced.
Keywords
effective Lagrangian, CP violating, U(1) problem
Subject Categories
Lagrange equations, Quantum chromodynamics
Disciplines
Physics
Publisher
American Physical Society
Publication Date
1-15-1981
Rights Information
Copyright (1981) American Physical Society
Rights Holder
American Physical Society
Recommended Citation
Nath, Pran and Arnowitt, R., "U(1) problem: Current algebra and the θ vacuum" (1981). Physics Faculty Publications. Paper 506.
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Notes
Originally published in Physical Review D v.23 (1981): 473-476. DOI: 10.1103/PhysRevD.23.473