On the instanton effect in the finite temperature Yang-Mills theory and in the non-linear σ-model |
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| Authors: | E Gava R Jengo C Omero |
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| Institution: | 1. Istituto di Fisica Teorica dell''Universita di Trieste, Italy;2. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy;3. Istituto di Fisica Teorica dell''Universita di Trieste, Italy;4. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy;5. International Centre for Theoretical Physics, Trieste, Italy;6. Istituto di Fisica Teorica dell''Universita di Trieste, Italy;7. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy |
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| Abstract: | We have considered the effect of instantons at finite temperature on the interquark force and the order parameter of the Yang-Mills theory, finding a sharp change of regime at a temperature close to the one obtained in the Monte Carlo study. We have also considered the problem of the generation of the mass gap in the non linear σ-model in 2 dimensions. This illustrates the role of the instantons, the intrinsic limitations of the approximations made and suggests a physical picture as in the case of Yang-Mills theory. |
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