TY - JOUR

T1 - The string theory approach to generalized 2D Yang-Mills theory

AU - Ganor, O.

AU - Sonnenschein, J.

AU - Yankielowicz, S.

N1 - Funding Information:
The stringy interpretation of four-dimensional YM and QCD theories is one of the longstanding problems of strong interactions. As a matter of fact, the string theory's first incarnation came about as the theory of strongly interacting hadrons. Strong coupling lattice calculations as well as the large N approach clearly support and hint toward a string theory representation of these gauge theories. Recently, in a beautiful series of papers \[1-4\] this problem was investigated by Gross and Taylor within the framework of YM 2 theory on a Riemann surface of arbitrary topology. A lattice version of 2D YM (YM 2) theory has been known for a long time to be exactly solvable \[5\].S everal algorithms to compute correlators of Wilson loops on the plane were written down in this framework \[6,7\].M ore recently the partition function on an arbitrary Riemann surface was shown to have a simple 1 Work supported in part by the US-Israel Binational Science Foundation, 'GIF' - the German-Israeli Foundation for Scientific Research and Development - and the Israel Academy of Sciences.

PY - 1995/1/23

Y1 - 1995/1/23

N2 - We calculate the partition function of the SU(N) (and U(N)) generalized YM2 theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for ordinary YM2 theory. A diagrammatic expansion of the formula enables us to derive a Gross-Taylor-like stringy description of the model. A sum of 2D string maps is shown to reproduce the gauge theory results. Maps with branch points of degree higher than one, as well as "microscopic surfaces", play an important role in the sum. We discuss the underlying string theory.

AB - We calculate the partition function of the SU(N) (and U(N)) generalized YM2 theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for ordinary YM2 theory. A diagrammatic expansion of the formula enables us to derive a Gross-Taylor-like stringy description of the model. A sum of 2D string maps is shown to reproduce the gauge theory results. Maps with branch points of degree higher than one, as well as "microscopic surfaces", play an important role in the sum. We discuss the underlying string theory.

UR - http://www.scopus.com/inward/record.url?scp=0001631152&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(94)00397-W

DO - 10.1016/0550-3213(94)00397-W

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AN - SCOPUS:0001631152

SN - 0550-3213

VL - 434

SP - 139

EP - 178

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -