Exact Lorentz-violating $q$-deformed O($N$) universality class

Abstract

We examine the influence of exact Lorentz-violating symmetry mechanism on the radiative quantum corrections to the critical exponents for massless $q$-deformed O($N$) $\lambda {\varphi }^4$ scalar field theories. For that, we employ three different and independent field-theoretic renormalization group methods for computing analytically the $q$-deformed critical exponents up to next-to-leading order. Then we generalize the former finite loop level results for any loop order. We show that the Lorentz-violating $q$-deformed critical exponents, obtained through the three methods, turn out to be identical and furthermore the same as their Lorentz-invariant $q$-deformed ones. We argue that this result is in accordance with the universality hypothesis.

arXiv comment13 pages, 15 figures

References in corpus (46)

• Lorentz-Violating Extension of the Standard Model
• Noncommutative Field Theory and Lorentz Violation
• Nonstandard optics from quantum spacetime
• Quantum Spacetime Phenomenology
• Ultraviolet modifications of dispersion relations in effective field theory
• Perturbative analysis on infrared aspects of noncommutative QED on R^4
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Supersymmetry and Lorentz Violation
• Thermostatistics of q-deformed boson gas
• Quantum deformation of quantum gravity
• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Tests of Lorentz symmetry in the gravitational sector
• New q-deformed coherent states with an explicitly known resolution of unity
• Lorentz and CPT Violation in the Higgs Sector
• Thermodynamic Consistency of the $q$-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics
• The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
• Defect Structures in Lorentz and CPT Violating Scenarios
• Casimir effects in Lorentz-violating scalar field theory
• Renormalization of Scalar and Yukawa Field Theories with Lorentz Violation
• Approach to the semiconductor cavity QED in high-Q regimes with q-deformed boson
• Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
• Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory
• q-deformed noncommutative cat states and their nonclassical properties
• Analogue Aharonov-Bohm effect in a Lorentz-violating background
• Search for anisotropic Lorentz invariance violation with γ-rays
• Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory
• Hadronic Lorentz Violation in Chiral Perturbation Theory
• Lorentz Violation and the Yukawa Potential
• Mass Renormalization in Lorentz-violating Scalar Field Theory
• Status and prospects for $CPT$ and Lorentz invariance violation searches in neutral meson mixing
• q-Deformed spin foam models of quantum gravity
• Three-loop field renormalization for scalar field theory with Lorentz violation
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• Lorentz-violating effects in the Bose-Einstein condensation of an ideal bosonic gas
• 3d Quantum Gravity: Coarse-Graining and q-Deformation
• Exact Lorentz-violating all-loop ultraviolet divergences in scalar field theories
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Renormalization group approach for Lorentz-violating scalar field theory at all loop orders
• Critical properties of scalar field theory with Lorentz violation: Exact treatment of Lorentz-violating mechanism
• Lorentz-violating scalar Hamiltonian and equivalence principle in a static metric
• Effective potential in Lorentz-breaking field theory models
• Universality hypothesis breakdown at one-loop order
• Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory
• Wilson punctured network defects in 2D q-deformed Yang-Mills theory
• Unconventional minimal subtraction and Callan-Symanzik methods for Lorentz-violating scalar field theories at all loop orders