Lattice perturbation theory for the null cusp string
arXiv:2201.04104 · doi:10.1103/PhysRevD.105.074507
Abstract
We reconsider the problem of discretising the worldsheet for the gauge-fixed Green-Schwarz superstring on a null cusp background, and present a setup which fully preserves its global symmetry. We discuss divergences by power counting on the lattice, and study renormalizability at one loop with the example of one-point functions and one bosonic correlator of the worldsheet excitations. In order to remove UV divergences at one loop, it is necessary to introduce two extra parameters in the action, which need to be either fine-tuned at tree level or renormalized at one-loop.
References in corpus (41)
- Wilson loops in large N field theories
- Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
- Review of AdS/CFT Integrability: An Overview
- A semi-classical limit of the gauge/string correspondence
- Transcendentality and Crossing
- Structure functions for large and renormalization of Wilson loops
- Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
- A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
- Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
- Logarithmic scaling in gauge/string correspondence
- Exact lattice supersymmetry
- Two-loop world-sheet corrections in AdS_5 x S^5 superstring
- Lattice Perturbation Theory
- Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
- Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
- Strong-coupling expansion of cusp anomaly from quantum superstring
- Conformal Fixed Points of Unidentified Gauge Theories
- Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
- N=4 Supersymmetry on a Space-Time Lattice
- Testing holography using lattice super-Yang--Mills on a 2-torus
- Parallel software for lattice N=4 supersymmetric Yang--Mills theory
- Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
- Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
- Toward simulating Superstring/M-theory on a quantum computer
- Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
- Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
- Progress and prospects of lattice supersymmetry
- Toward Holographic Reconstruction of Bulk Geometry from Lattice Simulations
- Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
- Lifting flat directions in lattice supersymmetry
- Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5
- Partial Deconfinement at Strong Coupling on the Lattice
- Testing the holographic principle using lattice simulations
- Green-Schwarz superstring on the lattice
- Results from lattice simulations of N=4 supersymmetric Yang--Mills
- New linearization and reweighting for simulations of string sigma-model on the lattice
- Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations
- Large- limit of two-dimensional Yang--Mills theory with four supercharges
- Aspects of lattice N=4 supersymmetric Yang--Mills
- Eigenvalue spectrum and scaling dimension of lattice supersymmetric Yang-Mills
- A note on improved stochastic trace estimation for fermionic string fluctuations