Solutions of Polyakov's loop equations and their contribution to loop averages |
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| Authors: | R Gamboa Saravi F Schaposnik J Solomin |
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| Institution: | 1. Laboratorio de Fisica Teórica, Departamento de Física, U.N.L.P. Comisión de Investigaciones Científicas de la Provincia de Buenos Aires, 1900 La, Plata, Argentina
2. Departamento de Matemática, U.N.L.P. Comisión de Investigaciones Científicas de la Provincia de Buenos Aires, 1900, La Plata, Argentina
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| Abstract: | The solutions of the classical equations for the Wilson loop presented by Polyakov are studied forU(1) andSU(2) gauge theories on a lattice. All the solutions are found ford=2 space-time dimensions while a particular set is obtained ford-3,4. A possible application of this result to the computation of quantum loop averages in the weak coupling region is discussed: ind=2 a saddle point approximation is shown to be very accurate and simple in terms of loop variables. |
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