Faculty Publications and Researchhttp://hdl.handle.net/2022/174862015-07-29T11:38:13Z2015-07-29T11:38:13ZBipartite Riemann–Finsler geometry and Lorentz violationKostelecký, V.A.Russell, N.Tso, R.http://hdl.handle.net/2022/196722015-02-26T23:30:23Z2012-01-01T00:00:00ZBipartite Riemann–Finsler geometry and Lorentz violation
Kostelecký, V.A.; Russell, N.; Tso, R.
Bipartite Riemann–Finsler geometries with complementary Finsler structures are constructed. Calculable examples are presented based on a bilinear-form coefficient for explicit Lorentz violation.
2012-01-01T00:00:00ZClassical kinematics for Lorentz violationKostelecký, V.A.Russell, N.http://hdl.handle.net/2022/196712015-02-26T17:30:26Z2010-01-01T00:00:00ZClassical kinematics for Lorentz violation
Kostelecký, V.A.; Russell, N.
Classical point-particle relativistic lagrangians are constructed that generate the momentum–velocity and dispersion relations for quantum wave packets in Lorentz-violating effective field theory.
2010-01-01T00:00:00ZAstrophysical Tests of Lorentz and CPT Violation with PhotonsKostelecký, V.A.Mewes, M.http://hdl.handle.net/2022/196702015-02-26T17:30:25Z2008-01-01T00:00:00ZAstrophysical Tests of Lorentz and CPT Violation with Photons
Kostelecký, V.A.; Mewes, M.
A general framework for tests of Lorentz invariance with electromagnetic waves is presented, allowing for operators of arbitrary mass dimension. Signatures of Lorentz violations include vacuum birefringence, vacuum dispersion, and anisotropies. Sensitive searches for violations using sources such as active galaxies, gamma-ray bursts, and the cosmic microwave background are discussed. Direction-dependent dispersion constraints are obtained on operators of dimension 6 and 8 using gamma-ray bursts and the blazar Markarian 501. Stringent constraints on operators of dimension 3 are found using 5 year data from the Wilkinson Microwave Anisotropy Probe. No evidence appears for isotropic Lorentz violation, while some support at 1 σ is found for anisotropic violation.
2008-01-01T00:00:00ZSpontaneous Lorentz violation and nonpolynomial interactionsAltschul, B.Kostelecký, V.A.http://hdl.handle.net/2022/196692015-02-26T17:30:24Z2005-01-01T00:00:00ZSpontaneous Lorentz violation and nonpolynomial interactions
Altschul, B.; Kostelecký, V.A.
Gauge-noninvariant vector field theories with superficially nonrenormalizable nonpolynomial interactions are studied. We show that nontrivial relevant and stable theories have spontaneous Lorentz violation, and we present a large class of asymptotically free theories. The Nambu–Goldstone modes of these theories can be identified with the photon, with potential experimental implications.
2005-01-01T00:00:00Z