TY - JOUR
T1 - String theory and quark confinement
AU - Polyakov, Alexandre M.
N1 - Funding Information:
s ment may also shed light on the Planck physics. d2~Eabd,s’labZVTr(Kg-lB~V(~(J))g(EW)e) see that better understanding of confine- +%I This work was partially supported by the Na- where @[g] is a 2d action for the chiral field tional Science Foundation under contract PHYS-g(c) which might contain the Kirillov 2-form and 90-21984. the WZNW topological term. It is easy to adjust them so that the Yang-Mills expression for B,, extremizes the action. However I have not found the action which picks up the Yang-Mills configurations only. This is an interesting subject which has obvious connections with the non-abelian Stokes theorem [17] on one hand and with the theory of non-abelian 2-forms on the other. However the above puzzle has little to do with the solution of the loop equations. The chiral field g(t) which represents the non-abelian electric flux along the string must acquire a finite correlation length in the confining phase. Its only role must be in providing correct topological weights to the electric random surfaces. This is the consequence of the fact that in the confining phase the only memory of the group-theoretic structure is hidden in the ‘t Hooft factor Nx where x is the Euler character of the random surface. Perhaps we can interpret the cp -dependent field B,, of the first part of this paper as a density of the eigenvalues for the non-abelian field strength. At the present stage of development it is impossible to make these statements more precise. Finally let us discuss a possible scenario in higher dimensions. In this case the Yang -Mills theory is not confining in the weak coupling phase
PY - 1998/11
Y1 - 1998/11
N2 - This article is based on a talk given at the "Strings '97" conference. It discusses the search for the universality class of confining strings. The key ingredients include the loop equations, the zigzag symmetry, the non-linear renormalization group. Some new tests for the equivalence between gauge fields and strings are proposed.
AB - This article is based on a talk given at the "Strings '97" conference. It discusses the search for the universality class of confining strings. The key ingredients include the loop equations, the zigzag symmetry, the non-linear renormalization group. Some new tests for the equivalence between gauge fields and strings are proposed.
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U2 - 10.1016/S0920-5632(98)00135-2
DO - 10.1016/S0920-5632(98)00135-2
M3 - Article
AN - SCOPUS:0032210522
SN - 2405-6014
VL - 68
SP - 1
EP - 8
JO - Nuclear and Particle Physics Proceedings
JF - Nuclear and Particle Physics Proceedings
IS - 1-3
ER -