Gauge fields in the functional Schroedinger representation

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1986

OSTI ID:5380386

Hatfield, B F

The author explores gauge fields in the functional Schroedinger representation. He first considers perturbatively solving quantum electrodynamics using known free field wave functionals. Failures of ordinary perturbative techniques forces the development of techniques to solve nontrivial functional differential equations. These techniques can also be used for Yang-Mills as he also demonstrates. The author regularizes QED in a new fashion using functional directional derivatives. This may also be generalized to Yang-Mills. He carrys out mass renormalization in QED using wave functionals since no one has explicitly done it before. He briefly looks at magnetic flux tubes in the Abelian Higgs model to illustrate renormalization in a variational calculation. He also performs a variational calculation using wave functionals in Yang-Mills to see if quantum fluctuations can produce electric flux tubes.

• Research Organization: California Inst. of Tech., Pasadena (USA)
• OSTI ID: 5380386
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
HIGGS MODEL
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SCHROEDINGER EQUATION
VARIATIONAL METHODS
WAVE EQUATIONS
YANG-MILLS THEORY