Asymptotic chiral invariance. [Callan-Symanzik equations]

Journal Article · Sun May 15 00:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.2979· OSTI ID:7259110

Mtingwa, S K

We discuss the conditions under which chiral symmetries become exact at asymptotic momenta, utilizing the homogeneous Callan-Symanzik equations so that momenta are not restricted to the deep Euclidean domain as others have done previously. In particular, we consider as our prototype the chiral SU(2) x SU(2) sigma model of Gell-Mann and Levy without fermions, where we allow for both spontaneous symmetry breaking and explicit breaking of the symmetry via a term in the Lagrangian linear in the sigma field. To check our general results, we calculate to two-loop order in perturbation theory the coefficients of the homogeneous Callan-Symanzik equations along with the interesting amplitudes of the theory and finally show that under suitable conditions the symmetry-broken theory and the symmetry-conserved theory both approach the same massless, symmetric theory as the momenta become asymptotic.

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 7259110
• Journal Information: Phys. Rev., D; (United States), Vol. 15:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
SYMMETRY BREAKING
PIONS
DECAY
SIGMA MODEL
SU-2 GROUPS
ASYMPTOTIC SOLUTIONS
AXIAL-VECTOR CURRENTS
GELL-MANN THEORY
LAGRANGIAN FUNCTION
MATRIX ELEMENTS
PERTURBATION THEORY
PROPAGATOR
RENORMALIZATION
SUM RULES
ALGEBRAIC CURRENTS
BOSONS
CURRENTS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PSEUDOSCALAR MESONS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
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