Electromagnetic selfduality in a lattice model
Sep, 199529 pages
Published in:
- Nucl.Phys.B 462 (1996) 291-314
e-Print:
- hep-lat/9509072 [hep-lat]
Report number:
- SWAT-95-82
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Abstract:
We formulate a Euclidean lattice theory of interacting elementary spin-half electric and magnetic charges, which we refer to as electrons and magnetic monopoles respectively. The model uses the polymer representation of the fermion determinant, and exhibits a self-dual symmetry provided electric charge and magnetic charge obey the minimal Dirac quantisation condition . In a hopping parameter expansion at lowest order, we show that virtual electron and monopole loops contribute radiative corrections of opposite sign to the photon propagator. We argue that in the limit , fermion mass , the model describes QED together with strongly interacting monopoles whose chiral symmetry is spontaneously broken. Prospects for the existence of an interacting continuum limit at the self-dual point are discussed.Note:
- 29 pages plain TeX, 2 PostScript figures included using psfig Report-no: SWAT/95/82
- 11.15.Ha
- 14.80.Hv
- 1.10.Lm
- Lattice
- QED
- Magnetic monopole
- lattice field theory: Euclidean
- charge: electric
- charge: magnetic
- fermion: determinant
References(49)
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