Generalized dual symmetry for non-Abelian Yang-Mills fields

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.7293· OSTI ID:284836

Chan, H ^[1]; Faridani, J ^[2]; Tsou, S T ^[3]

---

1. Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX (United Kingdom)
2. Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, M5S 1A7 (CANADA)
3. Mathematical Institute, Oxford University, 24-29 St. Giles`, Oxford OX1 3LB (United Kingdom)

It is shown that classical nonsupersymmetric Yang-Mills theory in four dimensions is symmetric under a generalized dual transform which reduces to the usual dual {asterisk} operation for electromagnetism. The parallel phase transport {tilde {ital A}}{sub {mu}}({ital x}) constructed earlier for monopoles is seen to function also as a potential in giving a full description of the gauge field, playing thus an entirely dual symmetric role to the usual potential {ital A}{sub {mu}}({ital x}). Sources of {ital A} are monopoles of {tilde {ital A}} and vice versa, and the Wu-Yang criterion for monopoles is found to yield as equations of motion the standard Wong and Yang-Mills equations for the classical and Dirac point charge, respectively; this applies whether the charge is electric or magnetic, the two cases being related just by a dual transform. The dual transformation itself is explicit, though somewhat complicated, being given in terms of loop space variables of the Polyakov type. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 284836
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHARGES
DUALITY
ELECTROMAGNETISM
FOUR-DIMENSIONAL CALCULATIONS
MONOPOLES
POTENTIALS
SYMMETRY
YANG-MILLS THEORY