Some New/Old Approaches to QCD

Gross, David J.

doi:10.1007/978-1-4899-1516-0_21

Cited by 7 publications

(6 citation statements)

References 32 publications

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“…Moreover, as we will see in chapter 3, exact results for the amplitudes are available. D. Gross advocated that one should examine these exact results in the large N theory and search for "stringy" signatures of the coefficients in the 1/N expansion [91]. As we will see, Gross' program has enjoyed some degree of success.…”

Section: The Case Of Two Dimensionsmentioning

confidence: 99%

Lectures on 2D yang-mills theory, equivariant cohomology and topological field theories

Cordes

Moore

Ramgoolam

1995

Nuclear Physics B - Proceedings Supplements

313

597

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These are expository lectures reviewing (1) recent developments in two-dimensional YangMills theory and (2) the construction of topological field theory Lagrangians. Topological field theory is discussed from the point of view of infinite-dimensional differential geometry.We emphasize the unifying role of equivariant cohomology both as the underlying principle in the formulation of BRST transformation laws and as a central concept in the geometrical interpretation of topological field theory path integrals.

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Section: The Case Of Two Dimensionsmentioning

confidence: 99%

Lectures on 2D yang-mills theory, equivariant cohomology and topological field theories

Cordes

Moore

Ramgoolam

1995

Nuclear Physics B - Proceedings Supplements

313

597

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show abstract

“…The possibility that the strong interactions might be described by a theory of strings has been an enduring source of fascination and frustration to particle theorists for the past twenty-five years [3][4][5][6][7][8][9]. In the early 80's some interesting progress on this question was made in the case of large N Yang-Mills theory in two dimensions (Y M 2 ) [10], [11].…”

Section: Introductionmentioning

confidence: 99%

Large N 2D Yang-Mills Theory and Topological String Theory

Cordes

Moore

Ramgoolam

1997

Communications in Mathematical Physics

103

211

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We describe a topological string theory which reproduces many aspects of the 1/N expansion of SU (N ) Yang-Mills theory in two spacetime dimensions in the zero coupling (A = 0) limit. The string theory is a modified version of topological gravity coupled to a topological sigma model with spacetime as target. The derivation of the string theory relies on a new interpretation of Gross and Taylor's "Ω −1 points." We describe how inclusion of the area, coupling of chiral sectors, and Wilson loop expectation values can be incorporated in the topological string approach.

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“…Two basic techniques that reveal some form of string structure in QCD are the expansion in the number of colors, and the strong coupling expansion. Yet, even though the success of QCD in the ultraviolet has been enormous, any progress in the identification of the "stringy" fixed point that governs the theory in the infrared has been very limited (for recent reviews, see [1]).…”

Section: Introductionmentioning

confidence: 99%

Topological Strings and QCD in Two Dimensions

Hořava

1995

Quantum Field Theory and String Theory

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Abstract. I present a new class of topological string theories, and discuss them in two dimensions as candidates for the string description of large-N QCD. The starting point is a new class of topological sigma models, whose path integral is localized to the moduli space of harmonic maps from the worldsheet to the target. The Lagrangian is of fourth order in worldsheet derivatives. After gauging worldsheet diffeomorphisms in this "harmonic topological sigma model," we obtain a topological string theory dominated by minimal-area maps. The bosonic part of this "topological rigid string" Lagrangian coincides with the Lagrangian proposed by Polyakov for the QCD string in higher dimensions.

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Some New/Old Approaches to QCD

Abstract: I discuss some recent attempts to revive two old ideas regarding an analytic approach to QCD-the development of a string representation of the theory and the large N limit of QCD.

Cited by 7 publications

References 32 publications

Lectures on 2D yang-mills theory, equivariant cohomology and topological field theories

Lectures on 2D yang-mills theory, equivariant cohomology and topological field theories

Large N 2D Yang-Mills Theory and Topological String Theory

Topological Strings and QCD in Two Dimensions

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