Existence of charges and mass-spliting in relativistic quantum field theory. [Null-plane integrals, Goldstone bosons]
The existence of charge operators associated with integrals of local densities in the (Wightman) framework of quantum field theory, in the presence of explicit symmetry breaking, can be demonstrated in certain cases. Their construction, in terms of null-plane integrals, is rather delicate. The possibility that a finite number of null-plane charges, which includes the Poincare generators, close on an algebra whose irreducible representations contain particles with different masses is considered; domain problems are shown to invalidate the basic hypotheses of the O'Raifeartaigh theorem. Null-plane Fourier transforms, which enter into the discussion of current algebra at infinite momentum, are also studied. It is shown that slns behavior is the maximal growth of high energy off mass shell amplitudes consistent with the existence of null-plane charges and null-plane Fourier transforms. Under the assumption that asymptotic states exist, these results also hold in the case of spontaneously broken chiral symmetry, with massless pseudoscalar Goldstone bosons.
- Research Organization:
- Univ. of Texas, Austin, TX (United States). Center for Particle Theory
- DOE Contract Number:
- E(40-1)-3992
- OSTI ID:
- 7127674
- Report Number(s):
- ORO-3992-282; CONF-760746-3; TRN: 77-005984
- Resource Relation:
- Conference: 5. international colloquium in group theoretical methods in physics, Montreal, Canada, 5 Jul 1976
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
WIGHTMAN FIELD THEORY
ELECTRIC CHARGES
MASS
CURRENT ALGEBRA
FOURIER TRANSFORMATION
GOLDSTONE BOSONS
INTEGRALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SYMMETRY BREAKING
AXIOMATIC FIELD THEORY
BOSONS
ELEMENTARY PARTICLES
FIELD THEORIES
INTEGRAL TRANSFORMATIONS
MATHEMATICAL OPERATORS
POSTULATED PARTICLES
TRANSFORMATIONS
645400* - High Energy Physics- Field Theory