Toward QCD String: No Folds

Abstract

We propose a string theory model which explains several features of two dimensional YM theory. Folds are suppressed. This in turn leads to the empty theory in flat target spaces. The Nambu-Goto action appears in the usual way. The model naturally splits into two (chiral) sectors: orientation preserving maps and orientation reversing maps. Moreover it has a straightforward extension to 3 and 4 dimensional space-times, which could be the rigid string with the self-intersection number at $\theta =\pi$.

8 pages, latex, one figure (The paper has been rewritten, the regular homotopy equivalence of different sectors is shown.)

References in corpus (4)

• Two Dimensional Gauge Theories Revisited
• Two Dimensional QCD as a String Theory
• The String Theory Approach to Generalized 2D Yang-Mills Theory
• Quark Spin and the Theta-Term for the QCD String

Cited by in corpus (7)

• String Holonomy and Extrinsic Geometry in Four-dimensional Topological Gauge Theory
• On rigid string instantons in four dimensions
• Folds in 2D String Theories
• New rigid string instantons in $R^4$
• On the quantization of folded strings in non-critical dimensions
• Rigid string instantons are pseudo-holomorphic curves
• The Image of Self Intersecting QCD Strings in Four Dimensions