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The general relativistic perturbations of scalar-tensor theories (STT) of gravity are studied in a manifestly gauge invariant Hamiltonian formalism. After the derivation of the Hamiltonian equations of motion in this framework, the gauge…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Yu Han , Kristina Giesel , Yongge Ma

The properties of elementary particles are encoded in their respective propagators and interaction vertices. For a SU(2) gauge theory coupled to a doublet of fundamental complex scalars these propagators are determined in both the Higgs…

High Energy Physics - Lattice · Physics 2011-03-03 Axel Maas

In scalar-vector-tensor (SVT) theories with parity invariance, we perform a gauge-ready formulation of cosmological perturbations on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background by taking into account a matter perfect…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

The properties of the momentum space quark propagator in Landau gauge and Gribov copy free Laplacian gauge are studied for the overlap quark action in quenched lattice QCD. Numerical calculations are done on two lattices with different…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , Patrick O. Bowman , Ryan J. Coad , Urs M. Heller , Derek B. Leinweber , Anthony G. Williams

We present results of numerical simulations for pure U(1) gauge theory in a non-commutative space. The theory is mapped onto a dimensionally reduced matrix model, which renders its numerical treatment feasible. New data on large lattices…

High Energy Physics - Lattice · Physics 2007-05-23 J. Volkholz , W. Bietenholz , J. Nishimura , Y. Susaki

We investigate scalar-induced gravitational waves (SIGWs) in the framework of spatially covariant gravity (SCG), a broad class of Lorentz-violating modified gravity theories respecting only spatial diffeomorphism invariance. Extending…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Jiehao Jiang , Jieming Lin , Xian Gao

We study the behavior of the AsqTad quark propagator in Landau gauge on quenched SU(2) gauge configurations under the removal of center vortices. In contrast to recent results in SU(3), we clearly see the infrared enhancement of the mass…

We start from a pure Yang-Mills theory defined on a spacetime with one universal extra dimension that we orbifold-compactify. We obtain a Kaluza-Klein (KK) theory by expanding in KK towers covariant objects rather than fields, as such an…

High Energy Physics - Phenomenology · Physics 2012-06-21 H. Novales-Sánchez

Among various approaches in proving gauge independence, models containing an explicit gauge dependence are convenient. The well-known example is the gauge parameter in the covariant gauge fixing which is of course most suitable for the…

High Energy Physics - Theory · Physics 2009-10-30 T. Kashiwa , N. Tanimura

We review some recent developments in nonperturbative studies of quantum field theory (QFT) using the Schwinger-Dyson equations formulated directly in Minkowski space. We begin with the introduction of essential ideas of the integral…

High Energy Physics - Phenomenology · Physics 2011-07-19 Vladimir Sauli

Herein, we introduce the framework of gauge invariant variables to describe fractional quantum Hall (FQH) states, and prove that the wavefunction can always be represented by a unique holomorphic multi-variable complex function. As a…

Strongly Correlated Electrons · Physics 2020-11-04 YingKang Chen , Rudro R. Biswas

The lattice Landau gauge gluon propagator at finite temperature is computed including the non-zero Matsubara frequencies. Furthermore, the K\"all\'en-Lehmann representation is inverted and the corresponding spectral density evaluated using…

High Energy Physics - Lattice · Physics 2017-10-04 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

Gauge fields are special in the sense that they are invariant under gauge transformations and \emph{``ipso facto''} they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge…

High Energy Physics - Theory · Physics 2007-05-23 Alfredo T. Suzuki , J. H. O. Sales

We discuss QCD condensate contributions to the gluon propagator both in the fixed-point gauge and in covariant gauges for the external QCD vacuum gluon fields with the conclusion that a covariant gauge is essential to obtain a gauge…

High Energy Physics - Phenomenology · Physics 2016-08-25 Ivan Schmidt , Jian-Jun Yang

Non-perturbative properties of QCD, such as color confinement, are encoded in the infrared behavior of correlation functions, e.g. propagators and vertices. Various analytic predictions have been suggested for these quantities in various…

High Energy Physics - Lattice · Physics 2010-11-15 Axel Maas , Attilio Cucchieri , Tereza Mendes

We measured the gluon propagator in the Landau gauge fixed QCD Langevin simulation and studied the infra-red behaviour of the gluon propagator. The 4^3 x 8 lattice simulation was done for quenched $\beta=3,4,5$ and unquenched $\beta=4,…

High Energy Physics - Lattice · Physics 2007-05-23 H. Nakajima , S. Furui

Recent work [hep-th/0504183,hep-th/0508002] indicates an approach to the formulation of diffeomorphism invariant quantum field theories (qft's) on the Groenewold-Moyal (GM) plane. In this approach to the qft's, statistics gets twisted and…

High Energy Physics - Theory · Physics 2008-11-26 A. P. Balachandran , A. Pinzul , B. A. Qureshi , S. Vaidya

This work comprises a study upon the quantization and the renormalizability of the generalized electrodynamics of spinless charged particles (mesons), namely, the Generalized Scalar Electrodynamics ($GSQED_{4}$). The theory is quantized in…

High Energy Physics - Theory · Physics 2014-04-04 R. Bufalo , B. M. Pimentel

We report progress towards computing the heavy quark momentum diffusion coefficient from the correlator of two chromo-electric fields attached to a Polyakov loop in pure SU(3) gauge theory. Using a multilevel algorithm and tree-level…

High Energy Physics - Lattice · Physics 2020-11-11 Nora Brambilla , Viljami Leino , Peter Petreczky , Antonio Vairo

We have investigated a closed set of equations for the quark propagator, which has been obtained earlier within a new, nonperturbative approach to two-dimencional covariant gauge QCD. It is shown that this theory implies quark confinement…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Gogohia , Gy. Kluge , I. Vargas de Usera