Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion

Abstract

In this paper we explicitly carry out the perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion in two dimensions up to second order in the coupling constant. This is done by computing the two-to-two $S$-matrix using the LSZ reduction formula and canceling out the divergences by introducing counterterms. We demonstrate that the renormalized Lagrangian is unambiguously determined by demanding that it gives the correct $S$-matrix of a $T\bar{T}$-deformed integrable field theory. Remarkably, the renormalized Lagrangian is qualitatively very different from its classical counterpart.

1+61 pages, 14 figures

References in corpus (6)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Solving the Simplest Theory of Quantum Gravity
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Sphere partition functions and cut-off AdS
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff

Cited by in corpus (6)

• Field Theory of Interacting Boundary Gravitons
• Quantization of the ModMax Oscillator
• Flows in the Space of Interacting Chiral Boson Theories
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group