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We study the motion of a spin 1/2 particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics(SUSYQM). We also introduce the concept of shape invariant scalar and magnetic fields and it is shown…

Quantum Physics · Physics 2009-10-31 V. M. Tkachuk , P. Roy

Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations. Here we use an extension…

With the present trend in experimental particle physics of probing yet shorter distances and with the requirement on the theoretical side of renormalizability, conformal invariance becomes an attractive symmetry for particle interactions.…

High Energy Physics - Theory · Physics 2022-08-29 A. D. Alhaidari

We study properties of a scalar quantum field theory on the two-dimensional noncommutative plane with $E_q(2)$ quantum symmetry. We start from the consideration of a firstly quantized quantum particle on the noncommutative plane. Then we…

High Energy Physics - Theory · Physics 2009-10-31 M. Chaichian , A. Demichev , P. Presnajder

Several results related to flat Friedmann-Lema\^{\i}tre-Robertson-Walker models in the conformal (Einstein) frame of scalar-tensor gravity theories are extended. Scalar fields with arbitrary (positive) potentials and arbitrary coupling…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Carlos R. Fadragas , Genly Leon

We discuss radiation in theories with scalar fields. Our key observation is that even in flat spacetime, the radiative fields depend qualitatively on the coupling of the scalar field to the Ricci scalar: for non-minimally coupled scalars,…

High Energy Physics - Theory · Physics 2020-04-22 Bartomeu Fiol , Jairo Martínez-Montoya

The propagation of scalar and spinor fields in a spacetime whose metric changes signature is analyzed. Recent work of Dray et al. on particle production from signature change for a (massless) scalar field is reviewed, and an attempt is made…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Joseph D. Romano

Scalar-tensor theory has arbitrary functions of the scalar field in front of the geometric and scalar terms in the Lagrangain. The extent to which these arbitrary functions appear in the Wheeler-deWitt wavefunction of mini-super…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Mark D. Roberts

A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific…

High Energy Physics - Theory · Physics 2014-01-29 Gianluca Calcagni , Giuseppe Nardelli

The article is a natural continuation of our paper {\em Quantum scalar field in FRW Universe with constant electromagnetic background}, Int. J. Mod. Phys. {\bf A12}, 4837 (1997). We generalize the latter consideration to the case of massive…

High Energy Physics - Theory · Physics 2014-11-18 S. P. Gavrilov , D. M. Gitman , A. E. Goncalves

We explore the dynamical behaviour of cosmological models involving a scalar field (with an exponential potential and a canonical kinetic term) and a matter fluid with spatial curvature included in the equations of motion. Using…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Mateja Gosenca , Peter Coles

We study a class of perturbative scalar quantum field theories where dynamics is characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional order and the underlying spacetime has a varying spectral dimension.…

High Energy Physics - Theory · Physics 2021-08-16 Gianluca Calcagni

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

High Energy Physics - Theory · Physics 2014-11-18 Shin'ichi Imai , Naoki Sasakura

We analyse quantised scalar, spinor and photon fields in a mechanically rigid cavity that is accelerated in Minkowski spacetime, in a recently-introduced perturbative small acceleration formalism that allows the velocities to become…

Quantum Physics · Physics 2013-09-17 Nicolai Friis , Antony R. Lee , Jorma Louko

We derive quantum kinetic equations for scalar fields undergoing coherent evolution either in time (coherent particle production) or in space (quantum reflection). Our central finding is that in systems with certain space-time symmetries,…

High Energy Physics - Phenomenology · Physics 2014-11-18 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

Many modifications of gravity introduce new scalar degrees of freedom, and in such theories matter fields typically couple to an effective metric that depends on both the true metric of spacetime and on the scalar field and its derivatives.…

High Energy Physics - Theory · Physics 2015-06-05 Philippe Brax , Clare Burrage , Anne-Christine Davis

Starting with the idea to describe phenomenologically the particle creation in the strong gravitational fields, we introduced explicitly the particle number nonconservation (= creation law) into the action integral with the corresponding…

General Relativity and Quantum Cosmology · Physics 2017-11-27 V. A. Berezin , V. I. Dokuchaev , Yu. N. Eroshenko

We use the conformal method to obtain solutions of the Einstein-scalar field gravitational constraint equations. Handling scalar fields is a bit more challenging than handling matter fields such as fluids, Maxwell fields or Yang-Mills…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yvonne Choquet-Bruhat , James Isenberg , Daniel Pollack

The Eisenhart lift of Riemannian type describes the motion of a particle as a geodesic in a higher-dimensional Riemannian manifold with one additional coordinate. It has recently been generalized to a scalar field system by introducing one…

General Relativity and Quantum Cosmology · Physics 2025-01-31 Takeshi Chiba , Tsuyoshi Houri

We discuss a class of teleparallel scalar-torsion theories of gravity, which is parametrized by five free functions of the scalar field. The theories are formulated covariantly using a flat, but non-vanishing spin connection. We show how…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann