Renormalization of Charge Due to Magnetic Monopoles in the Villain Form of U(1) Lattice Gauge Theory
198821 pages
Published in:
- Phys.Rev.D 38 (1988) 1239-1259
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Abstract: (APS)
We give an exact equation for the renormalization of the electric charge in the Villain version of the U(1) lattice gauge theory. It involves a sum of monopole loops of increasing size plus their long-range Biot-Savart-type interactions. We count and evaluate the contributions of these loops explicitly up to tenth order. The resulting renormalized charge is in very good agreement with recent Monte Carlo data except in the extreme vicinity of the critical point.- GAUGE FIELD THEORY: U(1)
- LATTICE FIELD THEORY: PARTITION FUNCTION
- FIELD THEORY: MAGNETIC MONOPOLE
- CHARGE: RENORMALIZATION
- NUMERICAL CALCULATIONS: MONTE CARLO
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