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In this paper I determine the general form of the physical and mathematical restrictions that arise on the interactions of gravity and scalar fields in the 2T field theory setting, in d+2 dimensions, as well as in the emerging shadows in d…

High Energy Physics - Theory · Physics 2011-01-17 Itzhak Bars

We study the representation theory of the solution space of the one-dimensional Schr\"{o}dinger equation with time-dependent potentials that posses $\mathfrak{sl}_2$-symmetry. We give explicit local intertwining maps to multiplier…

Representation Theory · Mathematics 2011-04-19 Jose Franco

We review a technique for solving a class of classical linear partial differential systems of relevance to physics in Minkowski spacetime. All the equations are amenable to analysis in terms of complex solutions in the kernel of the scalar…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Robin W. Tucker , Timothy J. Walton

The light-front Hamiltonian formulation for the scalar field theory contains a new ingredient in the form of a constraint equation. Renormalization of the two dimensional $\phi^{4}$ theory, described in the continuum, is discussed. The mass…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

We compute the effective potential $V_{\rm eff}(\phi)$ for one-component real scalar field $\phi$ in three Euclidean dimensions (3D) in the case of spontaneously broken symmetry, from the Monte Carlo simulation of the 3D Ising model in…

High Energy Physics - Lattice · Physics 2009-10-28 M. M. Tsypin

We consider multiple scalar fields coupled to gravity, with special attention given to two-field theories. First, the conditions necessary for these theories to meet solar system tests are given. Next, we investigate the cosmological…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Andrew L. Berkin , Ronald W. Hellings

In this letter, a two-dimensional (2D) gravity-scalar model is studied. This model supports interesting double-kink solutions, and the corresponding metric solutions can be derived analytically. Depending on a tunable parameter $c$, the…

High Energy Physics - Theory · Physics 2022-05-02 Jun Feng , Yuan Zhong

Time-independent non-linear Schr\"{o}dinger-type (NLS) formulation of FRW cosmology with canonical scalar field are considered in case of two barotropic fluids. We derived Friedmann formulation variables in terms of NLS variables. Seven…

General Relativity and Quantum Cosmology · Physics 2021-07-19 Chonticha Kritpetch , Jarunee Sanongkhun , Pichet Vanichchapongjaroen , Burin Gumjudpai

We reconstruct type II supergravities by using building blocks of $O(d) \times O(d)$ invariants.These invariants are obtained by explicitly analyzing $O(d) \times O(d)$ transformations of 10 dimensional massless fields. Similar…

High Energy Physics - Theory · Physics 2023-11-14 Yoshifumi Hyakutake , Kiyoto Maeyama

We present a method for generating new deformed solutions starting from systems of two real scalar fields for which defect solutions and orbits are known. The procedure generalizes the approach introduced in a previous work [Phys. Rev. D…

High Energy Physics - Theory · Physics 2008-11-26 V. I. Afonso , D. Bazeia , M. A. Gonzalez Leon , L. Losano , J. Mateos Guilarte

This work deals with the presence of twinlike models in scalar field theories. We show how to build distinct scalar field theories having the same extended solution, with the same energy density and the very same linear stability. Here,…

High Energy Physics - Theory · Physics 2012-12-13 D. Bazeia , A. S. Lobão , R. Menezes

Oscillating moduli fields can support a cosmological scaling solution in the presence of a perfect fluid when the scalar field potential satisfies appropriate conditions. We examine when such conditions arise in higher-dimensional,…

High Energy Physics - Theory · Physics 2008-11-26 James E. Lidsey , Karim A. Malik

A new approach to the inverse scattering problem proposed by Schroer, is applied to two-dimensional integrable quantum field theories. For any two-particle S-matrix S_2 which is analytic in the physical sheet, quantum fields are constructed…

High Energy Physics - Theory · Physics 2007-05-23 Gandalf Lechner

By analogy to the theory of harmonic fields on the complex plane, we build the theory of wave-like fields on the plane of double variable. We construct the hyperbolic analogues of point vortices, sources, vortice-sources and their…

Mathematical Physics · Physics 2015-02-26 Dmitry Pavlov , Sergey Kokarev

We analyze the quantum supersymmetric cosmological FRW model with a scalar field, with a conditional probability density and the scalar field identified as time. The Hilbert space has a spinorial structure and there is only one consistent…

General Relativity and Quantum Cosmology · Physics 2016-03-23 C. Ramírez , V. Vázquez-Báez

While the notion of open quantum systems is itself old, most of the existing studies deal with quantum mechanical systems rather than quantum field theories. After a brief review of field theoretical/path integral tools currently available…

High Energy Physics - Theory · Physics 2017-06-14 Avinash , Chandan Jana , R. Loganayagam , Arnab Rudra

We present the Lagrangian and Hamiltonian formulations of a theory for spin 2 fields. The construction is developed in flat space-time. The construction in curved space-time is conceptually straightforward, although it is not unique. The…

General Relativity and Quantum Cosmology · Physics 2020-10-13 J. W. Maluf , S. C. Ulhoa

The formal Heisenberg equations of the Federbush model are linearized and then are directly integrated applying the method of dynamical mappings. The fundamental role of two-dimensional free massless pseudo-scalar fields is revealed for…

High Energy Physics - Theory · Physics 2015-06-26 S. E. Korenblit , V. V. Semenov

We study the existence of new features in lumplike solutions in models of a real scalar field in two dimensional flat spacetime. We present new models and field configurations that exhibit a non standard decay, shrinking or stretching the…

High Energy Physics - Theory · Physics 2019-01-29 M. A. Marques

We analyze the free energy and the overlaps in the 2-spin spherical Sherrington Kirkpatrick spin glass model with an external field for the purpose of understanding the transition between this model and the one without an external field. We…

Disordered Systems and Neural Networks · Physics 2021-05-26 Jinho Baik , Elizabeth Collins-Woodfin , Pierre Le Doussal , Hao Wu