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Singular Lorentz-Violating Lagrangians and Associated Finsler Structures
Don Colladay, Patrick McDonald
Several lagrangians associated to classical limits of lorenz-violating fermions in the Standard Model extension (SME) have been shown to yield Finsler functions when the theory is…
Gupta-Bleuler Photon Quantization in the SME
Don Colladay, Patrick McDonald, Robertus Potting
Photon quantization is implemented in the standard model extension (SME) using the Gupta-Bleuler method and BRST concepts. The quantization prescription applies to both the birefri…
Classical Lagrangians for Momentum Dependent Lorentz Violation
Don Colladay, Patrick McDonald
Certain momentum-dependent terms in the fermion sector of the Lorentz-violating Standard Model Extension (SME) yield solvable classical lagrangians of a type not mentioned in the l…
Vector Superfields and Lorentz Violation
Don Colladay, Patrick McDonald
We extend Lorentz-violating Supersymmetry models to include vector superfields. The CPT-preserving model generalizes easily, while the obvious attempt at generalizing the CPT-viola…
Quaternionic Formulation of the Dirac Equation
Don Colladay, Patrick McDonald, David Mullins
The Dirac equation with Lorentz violation involves additional coefficients and yields a fourth-order polynomial that must be solved to yield the dispersion relation. The convention…
Lorentz Violation and Extended Supersymmetry
Don Colladay, Patrick McDonald
We construct a collection of Lorentz violating Yang-Mills theories exhibiting supersymmetry.
Factoring the Dispersion Relation in the Presence of Lorentz Violation
Don Colladay, Patrick McDonald, David Mullins
We produce an explicit formula for the dispersion relation for the Dirac Equation in the Standard Model Extension (SME) in the presence of Lorentz violation. Our expression is obta…
One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
Don Colladay, Patrick McDonald
The one-loop renormalizability of the electroweak sector of the Standard Model Extension with Lorentz violation is studied. Functional determinants are used to calculate the one-lo…
One-Loop Renormalization of QCD with Lorentz Violation
Don Colladay, Patrick McDonald
The explicit one-loop renormalizability of the gluon sector of QCD with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the requi…
One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
Don Colladay, Patrick McDonald
The explicit one-loop renormalizability of pure Yang-Mills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the requir…
Bose-Einstein Condensates as a Probe for Lorentz Violation
Don Colladay, Patrick McDonald
The effects of small Lorentz-violating terms on Bose-Einstein condensates are analyzed. We find that there are changes to the phase and shape of the ground-state wave function that…
Nonrelativisitic Ideal Gasses and Lorentz Violations
Don Colladay, Patrick McDonald
We develop statistical mechanics for a nonrelativisitic ideal gas in the presence of Lorentz violating background fields. The analysis is performed using the Standard-Model Extensi…
Deformed Instantons
Don Colladay, Patrick McDonald
In this talk, instantons are discussed in the presence of Lorentz violation. Conventional topological arguments are applied to classify the modified solutions to the Yang-Mills equ…
Statistical Mechanics and Lorentz Violation
Don Colladay, Patrick McDonald
The theory of statistical mechanics is studied in the presence of Lorentz-violating background fields. The analysis is performed using the Standard-Model Extension (SME) together w…
Redefining Spinors in Lorentz-Violating QED
Don Colladay, Patrick McDonald
An analysis of spinor redefinitions in the context of the Lorentz-violating QED extension is performed. Certain parameters that apparently violate Lorentz invariance are found to b…