Vortices, Infrared effects and Lorentz Invariance Violation

Abstract

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance violation (LIV) effect. The modified Yang-Mills theory contain in addition to the standard contribution, the term ${\theta }^{\mu }{\epsilon }_{\mu \nu \rho \lambda }(A^{\nu }{F}^{\rho \lambda }+2/3A_{\nu }{A}_{\rho }{A}_{\lambda })$ where ${\theta }_{\mu }$ is a given space-like constant vector with canonical dimension of energy. The $A_{\mu }$ field rescaling and the choice ${\theta }_{\mu }=(0,0,0,\theta )$, one can show that the modified Yang-Mills theory in 3+1 dimensions can be made equivalent to a Yang-Mills-Chern-Simons theory in 2+1 dimensions if one consider only heavy fermionic excitations. Thus, the Yang-Mills-Chern-Simons theory in 2+1 dimensions is a codified way of $QCD$ that include only heavy quarks. The classical solutions of the modified Yang-Mills theory for the SU(2) gauge group are confining ones.

Title changed and comments added. To appear in PLB

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Cited by in corpus (19)

• Anisotropic Cosmological Constant and the CMB Quadrupole Anomaly
• Lorentz violation in the linearized gravity
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Probing Noncommutativity with Inflationary Gravitational Waves
• Testing quantum gravity effects with latest CMB observations
• Ultraviolet modified photons and anisotropies in the cosmic microwave background radiation
• Quantum Fields with Noncommutative Target Spaces
• Chiral Anomaly Beyond Lorentz Invariance
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Noncommutative field gas driven inflation
• Equations of motion, Noncommutativity and Quantization
• Two-dimensional Lorentz-violating Chern-Simons-like action
• Vortices in U(1) Noncommutative Gauge Fields
• Constraining GUP Models Using Limits on SME Coefficients
• CMB statistical anisotropy from noncommutative gravitational waves
• Noncommutative fields in three dimensions and mass generation
• Symplectic Deformations, Non Commutative Scalar Fields and Fractional Quantum Hall Effect
• Particle-antiparticle asymmetry from magnetogenesis through the Landau mechanism
• Induced deformation of the canonical structure and UV/IR duality in $(1+1)D$