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We study some aspects of gravity in relation to flat spacetime. At first, we study an accelerated observer in Minkowski space as a quantum tunnelling problem in Rindler space. Both Bosonic and Fermionic modes are calculated to construct a…

General Relativity and Quantum Cosmology · Physics 2014-06-18 Debraj Roy

We study the Fock description of a quantum free field on the three-sphere with a mass that depends explicitly on time, also interpretable as an explicitly time dependent quadratic potential. We show that, under quite mild restrictions on…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Jeronimo Cortez , Guillermo A. Mena Marugan , Jose M. Velhinho

We study light-front physics and conformal symmetry, and their interplay both on and off the light cone. The full symmetry of the light cone is conformal symmetry not just Lorentz symmetry. Spontaneously breaking conformal symmetry gives…

High Energy Physics - Theory · Physics 2025-01-31 Philip D. Mannheim

We review the fundamental ideas of quantizing a theory on a Light Front including the Hamiltonian approach to the problem of bound states on the Light Front and the limiting transition from formulating a theory in Lorentzian coordinates…

High Energy Physics - Theory · Physics 2009-11-11 E. -M. Ilgenfritz , S. A. Paston , H. -J. Pirner , E. V. Prokhvatilov , V. A. Franke

Recent lattice studies of near-conformal strong dynamics suggest the existence of a light scalar. This provides motivation to consider a simple Hamiltonian-based bound-state model where the pseudoscalar, scalar, vector and axial-vector…

High Energy Physics - Phenomenology · Physics 2017-12-22 Bob Holdom , Roman Koniuk

This chapter reviews the construction of ``soft-collinear gravity'', the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power…

High Energy Physics - Theory · Physics 2022-10-20 Martin Beneke , Patrick Hager , Robert Szafron

We study the effects of light-cone fluctuations on the renormalized zero-point energy associated with a free massless scalar field in the presence of boundaries. In order to simulate light-cone fluctuations we introduce a space-time…

High Energy Physics - Theory · Physics 2014-01-31 E. Arias , C. H. G. Bessa , J. G. Dueñas , G. Menezes , N. F. Svaiter

We develop a new systematic approach to quantum field theory that is designed to lead to physical states that rapidly converge in an expansion in free-particle Fock-space sectors. To make this possible, we use light-front field theory to…

High Energy Physics - Theory · Physics 2009-09-25 Brent H. Allen

The light-front (LF) canonical quantization of quantum chromodynamics in covariant gauge is discussed. The Dirac procedure is used to eliminate the constraints in the gauge-fixed front form theory quantum action and to construct the LF…

High Energy Physics - Phenomenology · Physics 2009-09-11 Prem P. Srivastava , Stanley J. Brodsky

Within the covariant formulation of Light-Front Dynamics, in a scalar model with the interaction Hamiltonian $H=-g\psi^{2}(x)\phi(x)$, we calculate nonperturbatively the renormalized state vector of a scalar "nucleon" in a truncated Fock…

High Energy Physics - Theory · Physics 2008-11-26 D. Bernard , Th. Cousin , V. A. Karmanov , J. -F. Mathiot

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

The theoretical description of interacting fermions in one spatial dimension is simplified by the fact that the low energy excitations can be described in terms of bosonic degrees of freedom. This fermion-boson transmutation (FBT) which…

Condensed Matter · Physics 2009-10-28 K. Schoenhammer , V. Meden

Light-front perturbation theory has been proposed as an alternative to covariant perturbation theory. Light-front perturbation theory is only acceptable if it produces invariant S-matrix elements. Doubts have been raised concerning the…

High Energy Physics - Phenomenology · Physics 2009-10-30 N. C. J. Schoonderwoerd , B. L. G. Bakker

We give a complete formulation of Poincare gauge theory, starting from the fibre bundle formulation to the resultant Riemann-Cartan spacetime. We also introduce several diverse gravity theories descendent from the Poincare gauge theory.…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Huan-Hsin Tseng

Commutation or anticommutation relations quantized at equal instant time and commutation or anticommutation relations quantized at equal light-front time cannot be transformed into each other. While they would thus appear to describe…

High Energy Physics - Theory · Physics 2020-01-15 Philip D. Mannheim

In this short review we describe some aspects of $\kappa$-deformation. After discussing the algebraic and geometric approaches to $\kappa$-Poincar\'e algebra we construct the free scalar field theory, both on non-commutative…

High Energy Physics - Theory · Physics 2018-01-10 J. Kowalski-Glikman

We study the Fock quantization of scalar fields in (generically) time dependent scenarios, focusing on the case in which the field propagation occurs in --either a background or effective-- spacetime with spatial sections of flat compact…

General Relativity and Quantum Cosmology · Physics 2012-11-26 Laura Castelló Gomar , Jerónimo Cortez , Daniel Martín-de Blas , Guillermo A. Mena Marugán , José M. Velhinho

We study the lowest-mass eigenstates of $\phi^4_{1+1}$ theory with both odd and even numbers of constituents. The calculation is carried out as a diagonalization of the light-front Hamiltonian in a Fock-space representation. In each Fock…

High Energy Physics - Theory · Physics 2016-09-14 M. Burkardt , S. S. Chabysheva , J. R. Hiller

Using the method of correlation dynamics we investigate the properties of a field-theory for fermions and scalar bosons coupled via a Yukawa interaction. Within this approach, which consists in an expansion of full equal-time Green…

High Energy Physics - Theory · Physics 2009-10-31 S. Juchem , W. Cassing , J. M. Haeuser

Non-perturbative Hamiltonian light-front quantum field theory presents opportunities and challenges that bridge particle physics and nuclear physics. Fundamental theories, such as Quantum Chromodynmamics (QCD) and Quantum Electrodynamics…

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