Stochastic quantization and the large N reduction of quantum field theories

Thesis/Dissertation · Sat Jan 01 00:00:00 EST 1983

OSTI ID:6401881

Alfaro, J L

The reduction in the large N limit of field theories is discussed using the stochastic quantization of Parisi and Wu. The quenched momentum prescription is derived for both globally and locally U(N) symmetric theories in the continuum. Using this approach, the Gross-Kitazawa constraint is not needed to rescue the U(N) gauge theory. Furthermore, the stochastic quantization is extended to include U(N) variables and applied to derive the quenched momentum prescription of U(N) lattice gauge theory. Finally, the stochastic regularization is used to compute the one loop large N, mass renormalization in the four dimensional N x N Hermitian matrix model.

• Research Organization: City Univ. of New York, NY (USA)
• OSTI ID: 6401881
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
QUANTIZATION
RENORMALIZATION
LATTICE FIELD THEORY
STOCHASTIC PROCESSES
U GROUPS
FIELD THEORIES
LIE GROUPS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory