Burgers Equation vs. Large N Limit in TT-deformed O(N) Vector Model

2021/04/12 by Junichi Haruna, K. Sakai, Haruna, Junichi +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2104.05431

openalex publication_date 2021/04/12 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

Abstract

We study a TT-deformed O(N) vector model, which is classically equivalent to the Nambu-Goto action with static gauge. The thermal free energy density can be computed exactly by using the Burgers equation as a special property of TT-deformation. The resulting expression is valid for an arbitrary value of N. One may consider a large N limit while preserving this expression. We try to derive this result in the field-theoretical approach directly by employing the large N limit. As a result, the leading contribution coincides with the exact one. That is, the 1/N corrections are cancelled out through a non-trivial mechanism.

Citations

• TT deformations in general dimensions

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