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Spectral triples describe and generalize Riemannian spin geometries by converting the geometrical information into algebraic data, which consist of an algebra $A$, a Hilbert space $H$ carrying a representation of $A$ and the Dirac operator…

High Energy Physics - Theory · Physics 2009-11-07 A. Holfter , M. Paschke

We calculate the power spectrum of vacuum fluctuations of a generic scalar field in a quantum cosmological setting that is manifestly singularity-free. The power spectrum is given in terms of the usual scale invariant spectrum plus scale…

Astrophysics · Physics 2007-05-23 S. Hofmann , O. Winkler

The possibility of mass in the context of scale-invariant, generally covariant theories, is discussed. Scale invariance is considered in the context of a gravitational theory where the action, in the first order formalism, is of the form $S…

High Energy Physics - Theory · Physics 2009-11-07 E. I. Guendelman

Realizations of scale invariance are studied in the context of a gravitational theory where the action (in the first order formalism) is of the form $S = \int L_{1} \Phi d^{4}x$ + $\int L_{2}\sqrt{-g}d^{4}x$ where $\Phi$ is a density built…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. I. Guendelman

The existence of a new ultraviolet scale $\Lambda=g M_P$ for effective theories with gravity and U(1) gauge fields has recently been conjectured as a possible criterion for distinguishing parts of the swampland from the string landscape.…

High Energy Physics - Theory · Physics 2008-11-26 M. Gasperini

We survey variety theory for modules of finite dimensional Hopf algebras, recalling some definitions and basic properties of support and rank varieties where they are known. We focus specifically on properties known for classes of examples…

Representation Theory · Mathematics 2016-12-06 Sarah Witherspoon

We present a novel way in which effective field theory (EFT) can break down in cosmological string backgrounds depending on the behavior of the quantum gravity cutoff in infinite distance limits, known as the species scale $\Lambda_s$.…

High Energy Physics - Theory · Physics 2025-04-21 Alek Bedroya , Hayden Lee , Paul Steinhardt

We develop a practical methodology to remove modes from a galaxy survey power spectrum that are associated with systematic errors. We apply this to the BOSS CMASS sample, to see if it removes the excess power previously observed beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-25 B. Bahr-Kalus , W. J. Percival , D. J. Bacon , E. -M. Mueller , L. Samushia , L. Verde , A. J. Ross , J. L. Bernal

We present exact computations of partition functions of singlet vector models (infinite level Chern-Simons-matter theories) on lens spaces L(p, 1). We identify light topological configurations and their spectra, and we comment on the…

High Energy Physics - Theory · Physics 2012-10-02 Djordje Radicevic

For a finite dimensional representation $V$ of a group $G$ over a field $F$, the degree of reductivity $\delta(G,V)$ is the smallest degree $d$ such that every nonzero fixed point $v\in V^{G}\setminus\{0\}$ can be separated from zero by a…

Commutative Algebra · Mathematics 2017-11-29 Martin Kohls , Müfit Sezer

How many canonical degrees of freedom does a quantum field theory actually use during its Hamiltonian evolution? For a UV/IR-regularised classical scalar field, we address this question directly at the level of phase-space dynamics by…

High Energy Physics - Theory · Physics 2026-04-10 Oliver Friedrich , Kristina Giesel , Varun Kushwaha

We study gravitational lensing and the bending of light in low energy scale (M_S) gravity theories with extra space-time dimensions n. We find that due to the presence of spin-2 Kaluza-Klein states from compactification, a correction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Gang He , Girish C. Joshi , Bruce H. J. McKellar

Let $\Lambda$ be a basic finite dimensional algebra over an algebraically closed field, presented as a path algebra modulo relations; further, assume that $\Lambda$ is graded by lengths of paths. The paper addresses the classifiability, via…

Representation Theory · Mathematics 2014-07-11 E. Babson , B. Huisgen-Zimmermann , R. Thomas

We study the phase structure of a 4D complex scalar field theory with a potential V(Phi) = | Lambda^3 / Phi - Lambda Phi |^2 at zero and at finite temperature. The model is analyzed by mean field and Monte Carlo methods. At zero temperature…

High Energy Physics - Lattice · Physics 2008-12-01 Sebastian Scheffler , Ralf Hofmann , Ion-Olimpiu Stamatescu

Dynamics of gravity interaction with matter at one-loop level of effective quantum field theory naturally sets the cut-off scale $\Lambda_E$ in a sub-Planckian region through incorporating the gauge coupling constant $\alpha(\Lambda_E)$ and…

High Energy Physics - Theory · Physics 2025-12-30 Asya Aynbund , V. V. Kiselev

We use the auxiliary fields and (excited-) de Sitter solutions to study the standard power spectrum of primordial fluctuations of a scalar field in the early universe. The auxiliary fields are the negative norm solutions of the field…

High Energy Physics - Theory · Physics 2015-06-16 M. Mohsenzadeh , M. R. Tanhayi , E. Yusofi

We consider generic models of quintessence and we investigate the influence of massive neutrino matter with field-dependent masses on the matter power spectrum. In case of minimally coupled neutrino matter, we examine the effect in tracker…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-28 Chao-Qiang Geng , Chung-Chi Lee , R. Myrzakulov , M. Sami , Emmanuel N. Saridakis

Among the so-called classical tests of general relativity (GR), light bending has been confirmed with an accuracy that increases as times goes by. Here we study the gravitational deflection of photons within the framework of classical and…

High Energy Physics - Theory · Physics 2015-06-11 Antonio Accioly , José Helayël-Neto , Breno Giacchini , Wallace Herdy

Several classes of self-similar, spherically symmetric solutions of relativistic wave equation with nonlinear term of the form sign(\phi) are presented. They are constructed from cubic polynomials in the scale invariant variable t/r. One…

High Energy Physics - Theory · Physics 2012-01-12 H. Arodz , J. Karkowski , Z. Swierczynski

Modular symmetry offers the possibility to provide an origin of discrete flavour symmetry and to break it along particular symmetry preserving directions without introducing flavons or driving fields. It is also possible to use a weighton…

High Energy Physics - Phenomenology · Physics 2021-10-04 Gui-Jun Ding , Stephen F. King , Chang-Yuan Yao