Gauge fields-strings duality and the loop equation

A. Polyakov; V. Rychkov

doi:10.1016/S0550-3213(00)00183-8

Gauge fields-strings duality and the loop equation

A. Polyakov, V. Rychkov

Physics

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

We explore gauge fields-strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [? ] satisfies gauge theory Schwinger-Dyson equations precisely at the critical dimension D_cr=4. Incomplete - since we get these results only in the WKB approximation and only for a special class of contours. The ways to go beyond these limitations and in particular the OPE for operators defined on the loop are also discussed.

Original language	English (US)
Pages (from-to)	116-134
Number of pages	19
Journal	Nuclear Physics B
Volume	581
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(00)00183-8
State	Published - Aug 14 2000

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/S0550-3213(00)00183-8

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title = "Gauge fields-strings duality and the loop equation",

abstract = "We explore gauge fields-strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [? ] satisfies gauge theory Schwinger-Dyson equations precisely at the critical dimension Dcr=4. Incomplete - since we get these results only in the WKB approximation and only for a special class of contours. The ways to go beyond these limitations and in particular the OPE for operators defined on the loop are also discussed.",

author = "A. Polyakov and V. Rychkov",

note = "Funding Information: We are grateful to Volodya Kazakov for his participation in the early stages of this project as well as for useful discussions. The work of A.P. was partially supported by NSF grant PHY-98-02484.",

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AU - Rychkov, V.

N1 - Funding Information: We are grateful to Volodya Kazakov for his participation in the early stages of this project as well as for useful discussions. The work of A.P. was partially supported by NSF grant PHY-98-02484.

PY - 2000/8/14

Y1 - 2000/8/14

N2 - We explore gauge fields-strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [? ] satisfies gauge theory Schwinger-Dyson equations precisely at the critical dimension Dcr=4. Incomplete - since we get these results only in the WKB approximation and only for a special class of contours. The ways to go beyond these limitations and in particular the OPE for operators defined on the loop are also discussed.

AB - We explore gauge fields-strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [? ] satisfies gauge theory Schwinger-Dyson equations precisely at the critical dimension Dcr=4. Incomplete - since we get these results only in the WKB approximation and only for a special class of contours. The ways to go beyond these limitations and in particular the OPE for operators defined on the loop are also discussed.

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JF - Nuclear Physics B

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Gauge fields-strings duality and the loop equation

Abstract

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