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This article gives a brief summary on recently obtained classical lagrangians for the nonminimal fermion sector of the Standard-Model Extension (SME). Such lagrangians are adequate descriptions of classical particles that are subject to a…

High Energy Physics - Phenomenology · Physics 2016-07-22 M. Schreck

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonzalo J. Olmo

The theoretical description of fermions in the presence of Lorentz and CPT violation is developed. We classify all Lorentz- and CPT-violating and invariant terms in the quadratic Lagrange density for a Dirac fermion, including operators of…

High Energy Physics - Phenomenology · Physics 2015-06-17 Alan Kostelecky , Matthew Mewes

We study Parity Violating Gravity Theories whose gravitational Lagrangian is a generic function of the scalar curvature and the parity odd curvature pseudoscalar, commonly known as the Holst (or Hojmann) term. Generalizing some previous…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Damianos Iosifidis

Recently it was shown that the quantum vacuum effects of massless chiral fermion field in curved space-time leads to the parity-violating Pontryagin density term, which appears in the trace anomaly with imaginary coefficient. In the present…

General Relativity and Quantum Cosmology · Physics 2015-05-21 Sebastião Mauro , Ilya L. Shapiro

In the current paper the properties of a quantum field theory based on certain sets of Lorentz-violating coefficients in the nonminimal fermion sector of the Standard-Model Extension are analyzed. In particular, three families of…

High Energy Physics - Theory · Physics 2014-11-05 M. Schreck

We disprove the Vafa-Witten theorem on the impossibility of spontaneously breaking parity in vector-like gauge field theories, identifying a mechanism driven by quantum fluctuations. With the introduction of a meromorphic Lattice…

High Energy Physics - Lattice · Physics 2008-11-26 P. R. Crompton

We exactly calculated the parity-odd term of the effective action induced by the fermions in 2+1 dimensions at finite chemical potential and finite temperature. It shows that gauge invariance is still respected. A more gerneral class of…

High Energy Physics - Theory · Physics 2011-07-19 Sze-Shiang Feng , Dong-Pei Zhu

The coupling of gravity to a scalar field raises a number of interesting questions of principle since the usual minimal coupling obtained by replacing ordinary derivatives with covariant derivatives is not available -- they are the same…

General Relativity and Quantum Cosmology · Physics 2011-10-26 Y. N. Srivastava , J. Swain , A. Widom

We examine the generic theory of a partially massless (PM) spin-two field interacting with gravity in four dimensions from a bottom-up perspective. By analyzing the most general form of the Lagrangian, we first show that if such a theory…

High Energy Physics - Theory · Physics 2014-09-23 Euihun Joung , Wenliang Li , Massimo Taronna

In this paper we consider an axial torsion to build metric-compatible connections in conformal gravity, with gauge potentials; the geometric background is filled with Dirac spinors: scalar fields with suitable potentials are added…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Luca Fabbri

We present a numerical analysis of spin-$\frac{1}{2}$ fermions in a one-dimensional harmonic potential in the presence of a magnetic point-like impurity at the center of the trap. The model represents a few-body analogue of a magnetic…

We establish a new spin-statistics theorem for a class of free pseudo-Hermitian quantum field theories whose particles furnish unitary irreducible representations of the Poincar\'{e} group. In this framework, free pseudo-Hermitian fields…

High Energy Physics - Theory · Physics 2025-10-28 Yao Bai , Cheng-Yang Lee , Ruifeng Leng , Siyi Zhou

We consider bound states of fermions with an anomalous magnetic moments(neutrinos,neutrons) in radial electric and magnetic field of monopole.In case of radial magnetic field the interaction $\vec{\Sigma}\vec{H}$ violates P-parity and for…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. A. Alanakyan

A manifestly gauge invariant formulation of the coupling of the Maxwell theory with an Einstein Cartan geometry is given, where the space time torsion originates from a massless Kalb-Ramond field augmented by suitable U(1) Chern Simons…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Parthasarathi Majumdar , Soumitra SenGupta

The classic Abraham-Lorentz-Dirac self-force of point-like particles is generalized within an effective field theory setup to include linear spin and susceptibility effects described perturbatively, in that setup, by effective couplings in…

High Energy Physics - Theory · Physics 2024-06-06 Gustav Uhre Jakobsen

We investigate the quantum effects of the non-minimal matter-gravity couplings derived by Cangemi and Jackiw in the realm of a specific fermionic theory, namely the abelian Thirring model on a Riemann surface of genus zero and one. The…

High Energy Physics - Theory · Physics 2016-09-06 L. Griguolo , D. Seminara

The next-to-next-to-leading order spin1-spin2 potential for an inspiralling binary, that is essential for accuracy to fourth post-Newtonian order, if both components in the binary are spinning rapidly, has been recently derived…

General Relativity and Quantum Cosmology · Physics 2014-12-03 Michele Levi , Jan Steinhoff

We propose relativistic Luttinger fermions as a new ingredient for the construction of fundamental quantum field theories. We construct the corresponding Clifford algebra and the spin metric for relativistic invariance of the action using…

High Energy Physics - Theory · Physics 2024-10-01 Holger Gies , Philip Heinzel , Johannes Laufkötter , Marta Picciau

Notwithstanding radical conceptual differences between classical and quantum mechanics, it is usually assumed that physical measurements concern observables common to both theories . Not so with the eigenvalues ($\pm 1$) of the parity…

Quantum Physics · Physics 2009-11-10 A. M. Ozorio de Almeida , O. Brodier