Anomalies in gauge theories

Technical Report · Sun Mar 01 04:00:00 EST 1987

OSTI ID:6264538

Hwang, Dae Sung

In a situation where a symmetry at the classical level is not a symmetry at the quantum level, the amount by which an effective action violates the symmetry, if it cannot be removed by adding a local functional to the effective action, is called an anomaly. Various topics of anomalies in two dimensions are studied. Topics covered include the anomalies of Yang-Mills gauge theory, gravitational theory, and supersymmetric gauge theory. The solution of the anomaly equation (the Wess-Zumino term) is obtained with only gauge fields, without auxiliary fields. A method is found to obtain the anomaly of the chiral current from the Schwinger terms of the equal time commutation relations. In the study of gravitational anomaly, Feynman diagrams are calculated to get an effective action, and it is shown, up to the second non-trivial order, that this effective action is in agreement with the anomaly obtained by the differential geometric method. A supersymmetric extension of the gauge anomaly is obtained, and it is shown that this is the origin of a supersymmetry anomaly in the Wess-Zumino gauge. An effective action whose variations give rise to the gauge and supersymmetry anomalies in the Wess-Zumino gauge is obtained. (LEW)

• Research Organization: Lawrence Berkeley Lab., CA (USA)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6264538
• Report Number(s): LBL-23440; UCB-PTH-87/20; ON: DE87014087
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
COMPARATIVE EVALUATIONS
DIAGRAMS
EQUATIONS
FEYNMAN DIAGRAM
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INTEGRALS
INVARIANCE PRINCIPLES
SCHWINGER TERMS
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
TWO-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY