Tensions and Luscher Terms for (2+1)-dimensional k-strings from Holographic Models

Abstract

The leading term for the energy of a bound state of k-quarks and k-antiquarks is proportional to its separation L. These k-string configurations have a Luscher term associated with their quantum fluctuations which is typically a 1/L correction to the energy. We review the status of tensions and Luscher terms in the context of lattice gauge theory, Hamiltonian methods, and gauge/gravity correspondence. Furthermore we explore how different representations of the k-string manifest themselves in the gauge/gravity duality. We calculate the Luscher term for a strongly coupled SU(N) gauge theory in (2+1) dimensions using the gauge/gravity correspondence. Namely, we compute one-loop corrections to a probe D4-brane embedded in the Cvetic, Gibbons, Lu, and Pope supergravity background. We investigate quantum fluctuations of both the bosonic and the fermionic sectors.

39 pages, reference added, same version to be published in JHEP

References in corpus (9)

• Holographic Wilson Loops
• On the effective action of confining strings
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• The (p,q) String Tension in a Warped Deformed Conifold
• Closed k-strings in SU(N) gauge theories : 2+1 dimensions
• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
• The robustness of the vacuum wave function and other matters for Yang-Mills theory
• Luscher Term for k-string Potential from Holographic One Loop Corrections
• Confining k-string tensions with D-Branes in Super Yang-Mills theories

Cited by in corpus (3)

• The Spectrum of Excitations of Holographic Wilson Loops
• A Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets
• Holographic k-string Tensions in Higher Representations and Luescher Term Universality