Poincare invariance in effective string theories

Abstract

We investigate the dispersion relation of the winding closed-string states in SU(N) gauge theory defined on a d-dimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relation. This is illustrated in the Luscher-Weisz effective string theory to two-loop order, where the Polyakov loop matrix elements between the vacuum and the closed string states are obtained explicitly. We attempt a generalization of these considerations to the case of compact dimensions transverse to the string.

14 pages, 1 figure; two paragraphs and a few references added

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• Effective string description of confining flux tubes
• Introductory lectures to large-N QCD phenomenology and lattice results
• The effective string spectrum in the orthogonal gauge
• Effective String Theory and Nonlinear Lorentz Invariance
• Lorentz completion of effective string (and p-brane) action
• The Lorentz-invariant boundary action of the confining string and its universal contribution to the inter-quark potential
• A different kind of string
• Jarzynski's theorem for lattice gauge theory
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• String-like behaviour of 4d SU(3) Yang-Mills flux tubes
• Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
• Continuum limit of string formation in 3-d SU(2) LGT
• Closed flux tubes in higher representations and their string description in D=2+1 SU(N) gauge theories
• The static quark potential from a multilevel algorithm for the improved gauge action
• New numerical results and novel effective string predictions for Wilson loops
• Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• The transverse structure of the QCD string
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Ising string beyond Nambu-Goto
• Boundary action and profile of effective bosonic strings
• The finite temperature ground state energy of the confining string in three-dimensional U(1) gauge theory
• Large-size expansion for triangular Wilson loops in confining gauge theories
• Fine structure of the confining string in an analytically solvable 3D model
• Recent progress in the effective string theory description of LGTs
• Asymptotic behavior of large polygonal Wilson loops in confining gauge theories