Noncommutative field theory with the Wick-Voros product

Abstract

We study the noncommutative scalar field theory in the presence of the Wick-Voros product (or normally ordered product), a variant of the more studied Moyal product. We discuss both the classical and the quantum field theory in the quartic potential case, and calculate the Green's functions up to one loop, for the two and four points cases.

This paper has been merged with arXiv:0807.1498 and has become arXiv:0810.2095. This has been published in Physical Review D 78.085007 (2008). The older version is available as arXiv:0807.1498v2

References in corpus (14)

• A Gravity Theory on Noncommutative Spaces
• Dynamics with Infinitely Many Derivatives: The Initial Value Problem
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Twisting all the way: from Classical Mechanics to Quantum Fields
• Twist Symmetry and Gauge Invariance
• Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
• Remarks on twisted noncommutative quantum field theory
• Twist to close
• Noncommutative spacetime symmetries: Twist versus covariance
• Noncommutative Field Theory from twisted Fock space
• Noncommutative Symmetries and Gravity
• Noncommutative Quantum Field Theory: A Confrontation of Symmetries
• Can QFT on Moyal-Weyl spaces look as on commutative ones?
• Why Renormalizable NonCommutative Quantum Field Theories?

Cited by in corpus (41)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Noncommutative field theory from angular twist
• Translation Invariance, Commutation Relations and Ultraviolet/Infrared Mixing
• Noncommutative Field Theory: Numerical Analysis with the Fuzzy Disc
• A unifying perspective on the Moyal and Voros products and their physical meanings
• Inequivalence of QFT's on Noncommutative Spacetimes: Moyal versus Wick-Voros
• On the $\star$-product quantization and the Duflo map in three dimensions
• Missing the point in noncommutative geometry
• Spinors and Voros star-product for Group Field Theory: First Contact
• Matrix Bases for Star Products: a Review
• Curing the UV/IR mixing for field theories with translation-invariant $\star$ products
• Twisted Quantum Fields on Moyal and Wick-Voros Planes are Inequivalent
• Finite axionic electrodynamics from a new noncommutative approach
• $\kappa$-Minkowski star product in any dimension from symplectic realization
• Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology
• Connecting dissipation and noncommutativity: A Bateman system case study
• Non-commutative Quantum Mechanics in Three Dimensions and Rotational Symmetry
• Algebras with convergent star products and their representations in Hilbert spaces
• Twist Deformation of Rotationally Invariant Quantum Mechanics
• Aspects of finite electrodynamics in D=3 dimensions
• Involutive representations of coordinate algebras and quantum spaces
• Gauge and Poincare' Invariant Regularization and Hopf Symmetries
• Spectral Properties and Local Density of States of Disordered Quantum Hall Systems with Rashba Spin-Orbit Coupling
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Translational-invariant noncommutative gauge theory
• Voros product, noncommutative inspired Reissner-Nordstr{ö}m black hole and corrected area law
• Noncommutative deformations of quantum field theories, locality, and causality
• The Gribov problem in Noncommutative gauge theory
• Translation-Invariant Noncommutative Renormalization
• A General formulation of the Moyal and Voros products and its physical interpretation
• Voros product and the Pauli principle at low energies
• Asymptotic commutativity of quantized spaces: the case of ${\mathbb{CP}}^{p,q}$
• Gribov horizon in Noncommutative QED
• Angles in Fuzzy Disc and Angular Noncommutative Solitons
• Noncommutative Conformal Field Theory in the Twist-deformed context
• Remarks on the interquark potential in the presence of a minimal length
• Quantum spaces, central extensions of Lie groups and related quantum field theories
• The Structure of Spacetime and Noncommutative Geometry
• Green's Functions for Translation Invariant Star Products
• Review of Twisted Poincare Symmetry