Large N quantum gauge theories in two-dimensions
Dec, 19926 pages
Published in:
- Phys.Lett.B 303 (1993) 95-98
e-Print:
- hep-th/9212090 [hep-th]
Report number:
- TAUP-2012-92
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Abstract:
The partition function of a two-dimensional quantum gauge theory in the large- limit is expressed as the functional integral over some scalar field. The large- saddle point equation is presented and solved. The free energy is calculated as the function of the area and of the Euler characteristic. There is no non-trivial saddle point at genus . The existence of a non-trivial saddle point is closely related to the weak coupling behavior of the theory. Possible applications of the method to higher dimensions are briefly discussed.- gauge field theory: Yang-Mills
- lattice field theory
- partition function
- dimension: 2
- energy
- expansion 1/N
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