Justification of the zeta function renormalization in rigid string model

DOI10.1063/1.532211zbMath0898.58063arXivhep-th/9703097OpenAlexW3103545403MaRDI QIDQ4384778

V. V. Nesterenko, I. G. Pirozhenko

Publication date: 26 April 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9703097

zbMATH Keywords

interquark potentialPolyakov-Kleinert stringrigid string modelzeta function renormalization

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Miscellaneous applications of number theory (11Z05)

Related Items

Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(\( N = 2, 3\)) ⋮ Zero-point energy of N perfectly conducting concentric cylindrical shells ⋮ A different kind of string ⋮ On the effective theory of long open strings

Cites Work

• Spectral functions, special functions and the Selberg zeta function
• Zeta function regularization of path integrals in curved spacetime
• SOME DEVELOPMENTS IN POLYAKOV–KLEINERT STRING WITH EXTRINSIC CURVATURE STIFFNESS
• Casimir effect in a D-dimensional flat space-time and the cut-off method
• Expressions for the zeta-function regularized Casimir energy