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We construct momentum space expansions for the wave functions that solve the Klein-Gordon and Dirac equations for tachyons, recognizing that the mass shell for such fields is very different from what we are used to for ordinary (slower than…

High Energy Physics - Theory · Physics 2016-03-28 Charles Schwartz

We show that within tachyonic braneworld models,"super-exponential" warp factors of the form $e^{-2f} \sim e^{-2c_1e^{c_2 |\sigma|}}$ are problematic when dealing with both the finiteness of the effective four-dimensional (4d) Planck mass…

High Energy Physics - Theory · Physics 2014-03-05 Mariana Carrillo-Gonzalez , Gabriel German , Alfredo Herrera-Aguilar , Dagoberto Malagon-Morejon

We first consider the Klein-Gordon equation in the 6-dimensional space $M_{2,4}$ with signature $+ - - - - +$ and show how it reduces to the Stueckelberg equation in the 4-dimensional spacetime $M_{1,3}$. A field that satisfies the…

Mathematical Physics · Physics 2014-09-02 Matej Pavšič

The quantum field theory of superluminal (tachyonic) particles is plagued with a number of problems, which include the Lorentz non-invariance of the vacuum state, the ambiguous separation of the field operator into creation and annihilation…

High Energy Physics - Phenomenology · Physics 2012-06-29 U. D. Jentschura , B. J. Wundt

We consider a braneworld scenario in the simplest setting, $M_4 \times S^1$, with a 4D Minkowski metric induced on the brane, and establish the possibility of superluminal propagation. If the brane is at rest, the 4D Lorentz symmetry of the…

High Energy Physics - Theory · Physics 2022-10-19 Brian Greene , Daniel Kabat , Janna Levin , Arjun S. Menon

We investigate the time propagation of tachyonic (superluminal) and tardyonic (subluminal, ordinary) massive wave packets on cosmic scales. A normalizable wave packet cannot be monochromatic in momentum space and thus acquires a positional…

High Energy Physics - Phenomenology · Physics 2022-12-14 José Nicasio , Ulrich D. Jentschura

The paper is devoted to the problem of existence of propagators for an abstract linear non-autonomous evolution Cauchy problem of hyperbolic type in separable Banach spaces. The problem is solved using the so-called evolution semigroup…

Mathematical Physics · Physics 2007-11-05 Hagen Neidhardt , Valentin A. Zagrebnov

We prove two theorems which concern difficulties in the formulation of the quantum theory of a linear scalar field on a spacetime, (M,g_{ab}), with a compactly generated Cauchy horizon. These theorems demonstrate the breakdown of the theory…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Bernard S. Kay , Marek J. Radzikowski , Robert M. Wald

The massive, real scalar field described by the Klein-Gordon equation in one spatial dimension is the most elementary example of a bosonic quantum field theory. It has been investigated for many decades either as a simple academic theory or…

Mesoscale and Nanoscale Physics · Physics 2025-03-27 Tobias Boorman , Bernd Braunecker

Braneworld models may yield interesting effects ranging from high-energy physics to cosmology, or even some low-energy physics. Their mode structure modifies standard results in these physical realms that can be tested and used to set…

The classical dynamics of the tachyon scalar field of cubic string field theory is considered on a cosmological background. Starting from a nonlocal action with arbitrary tachyon potential, which encodes the bosonic and several…

High Energy Physics - Theory · Physics 2009-11-11 Gianluca Calcagni

We consider the evolution of FRW cosmological models and linear perturbations of tachyon matter rolling towards a minimum of its potential. The tachyon coupled to gravity is described by an effective 4d field theory of string theory…

High Energy Physics - Theory · Physics 2010-04-05 Andrei Frolov , Lev Kofman , Alexei Starobinsky

The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose…

High Energy Physics - Theory · Physics 2023-10-10 Friedemann Brandt

In this thesis the generally covariant locality principle for bosonic free fields has been thoroughly analyzed devoting particular attention to the case of spin 1 fields on curved spacetimes (Proca and Maxwell fields). This has been…

Mathematical Physics · Physics 2011-11-29 Marco Benini

We consider a modified version of four-dimensional electrodynamics, which has a photonic Chern-Simons-like term with spacelike background vector in the action. Light propagation in curved spacetime backgrounds is discussed using the…

High Energy Physics - Theory · Physics 2008-12-18 E. Kant , F. R. Klinkhamer

We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and $n$ compact dimensions. The compactification radius is allowed to vary, as a function of the object's…

General Relativity and Quantum Cosmology · Physics 2023-05-08 Matthew J. Lake , Shi-Dong Liang , Anucha Watcharapasorn

In this work a tachyonization of the $\Lambda$CDM model for a spatially flat Friedmann-Robertson-Walker space-time is proposed. A tachyon field and a cosmological constant are considered as the sources of the gravitational field. Starting…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Luis P. Chimento , Mónica Forte , Gilberto M. Kremer , Marlos O. Ribas

We derive equations of motion for the tachyon field living on an unstable non-BPS D-brane in the level truncated open cubic superstring field theory in the first non-trivial approximation. We construct a special time dependent solution to…

High Energy Physics - Theory · Physics 2009-11-10 I. Ya. Aref'eva , L. V. Joukovskaya , A. S. Koshelev

This article sets out the framework of algebraic quantum field theory in curved spacetimes, based on the idea of local covariance. In this framework, a quantum field theory is modelled by a functor from a category of spacetimes to a…

Mathematical Physics · Physics 2015-04-03 Christopher J. Fewster , Rainer Verch

A local expansion is proposed for two-point distributions involving an ultraviolet regularization in a four-dimensional globally hyperbolic space-time. The regularization is described by an infinite number of functions which can be computed…

Mathematical Physics · Physics 2020-08-12 Felix Finster , Margarita Kraus
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