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We investigate the topological structure of the vacuum in SU(3) lattice gauge theory. We use under-relaxed cooling to remove the high-frequency fluctuations and a variety of "filters" to identify the topological charges in the resulting…

High Energy Physics - Lattice · Physics 2016-08-25 Douglas A. Smith , Michael J. Teper

Recently it has been suggested that non-gaussian inflationary perturbations can be usefully analysed in terms of a putative dual gauge theory defined on the future conformal infinity generated by an accelerating cosmology. The problem is…

High Energy Physics - Theory · Physics 2008-11-26 Brett McInnes

We define conserved gravitational charges in -cosmologically extended- topologically massive gravity, exhibit them in surface integral form about their de-Sitter or flat vacua and verify their correctness in terms of two basic types of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 S. Deser , Bayram Tekin

The implementation of the 't Hooft alpha-gauge in the symmetrically subtracted massive gauge theory based on the nonlinearly realized SU(2) gauge group is discussed. The gauge independence of the self-mass of the gauge bosons is proven by…

High Energy Physics - Theory · Physics 2009-02-24 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

We present preliminary results for a high statistics study of the topological charge distribution in the SU(3) Yang-Mills theory obtained by using the definition of the charge suggested by Neuberger fermions. We find statistical evidence…

High Energy Physics - Lattice · Physics 2008-11-26 Leonardo Giusti , Silvano Petrarca , Bruno Taglienti

We compute the Nekrasov partition function of gauge theories on the (resolved) toric singularities C^2/\Gamma in terms of blow-up formulae. We discuss the expansion of the partition function in the \epsilon_1,\epsilon_2 \to 0 limit along…

High Energy Physics - Theory · Physics 2015-06-11 Giulio Bonelli , Kazunobu Maruyoshi , Alessandro Tanzini , Futoshi Yagi

For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on $N_{\tau} N_s^3$ lattices for $N_{\tau}$ fixed and $N_s\to\infty$, approaching the phase transition from the confined phase. For $N_{\tau}=4$, 5…

High Energy Physics - Lattice · Physics 2008-11-26 Bernd A. Berg , Alexei Bazavov

We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective sigma-models and allows to formulate the topological charge density entirely in…

High Energy Physics - Lattice · Physics 2009-11-11 F. V. Gubarev , S. M. Morozov

Topological charge distributions of SU(3) gauge theory at finite temperature are calculated on the lattice with high statistics in a manner of free from the uncertainty of $\beta$-function. Clear temperature dependence of the topological…

High Energy Physics - Lattice · Physics 2007-05-23 Shinji Hioki

For strongly correlated electrons the relation between total number of charge carriers $n_e$ and the chemical potential $\mu$ reveals for large Coulomb energy the apparently paradoxical pinning of $\mu$ within the Mott gap, as observed in…

Strongly Correlated Electrons · Physics 2007-05-23 Tadeusz K. Kopec

We show that the topological charge of nonabelian gauge theory is unphysical by using the fact that it always involves the unphysical gauge field component proportional to the gradient of the gauge function. The removal of Gribov copies,…

High Energy Physics - Theory · Physics 2022-12-22 Nodoka Yamanaka

Various massive gravity theories in three dimensions are conjecturally dual to logarithmic conformal field theories (LCFTs). We summarise the status of these conjectures. LCFTs are characterised by the values of the central charges and the…

High Energy Physics - Theory · Physics 2011-08-17 Daniel Grumiller , Niklas Johansson , Thomas Zojer

Linearized gravity is considered as an ordinary gauge field theory. This implies the need for gauge fixing in order to have well defined propagators. Only after having achieved this, the most general mass term is added. The aim of this…

High Energy Physics - Theory · Physics 2017-10-25 Alberto Blasi , Nicola Maggiore

A massive gauge invariant formulation for scalar ($\phi$) and antisymmetric ($C_{mnp}$) fields with a topological coupling, which provides a mass for the axion field, is considered. The dual and local equivalence with the non-gauge…

High Energy Physics - Theory · Physics 2014-11-18 Pio Jose Arias , Adel Khoudeir

We derive the universal real time $U(1)$ topological gauge field action for mixed quantum states of weakly correlated fermions in all dimensions, and demonstrate its independence of the underlying equilibrium or non-equilibrium nature of…

Statistical Mechanics · Physics 2022-12-28 Ze-Min Huang , Xiao-Qi Sun , Sebastian Diehl

It is shown that the evaluation of the expectation value (EV) of topological charge density over $\theta$-vacuum is reduced to investigation of the Chern-Simons term EV. An equation for this quantity is established and solved. EV of the…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Kotzinian , O. Yu. Shevchenko , A. N. Sissakian

We consider four-dimensional non-Abelian gauge theory living on a complex projective space $\mathbb{CP}^2$ as a way of gaining insights into (3+1)-dimensional QCD. In particular, we use a complex parametrization of gauge fields on which…

High Energy Physics - Theory · Physics 2024-10-31 Antonina Maj

The critical theories for the topological phase transitions of integer quantum Hall states to a trivial insulating state with the same symmetry can be obtained by calculating the ground state entanglement spectrum under a symmetric…

Strongly Correlated Electrons · Physics 2014-12-31 Qiong Zhu , Xin Wan , Guang-Ming Zhang

Demanding the existence of a simple holographic $c$-theorem, it is shown that a general (parity preserving) theory of gravity in 2+1 dimensions involving upto four derivative curvature invariants reduces to the new massive gravity theory.…

High Energy Physics - Theory · Physics 2015-03-13 Aninda Sinha

Gauge theories with compact symmetry groups possess topologically non-trivial configurations of gauge field. This has dramatic implications for the vacuum structure of Quantum Chromo-Dynamics (QCD) and for the behavior of QCD plasma, as…

High Energy Physics - Phenomenology · Physics 2015-01-08 Dmitri E. Kharzeev