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The low-energy spectrum of a one-component, spontaneously broken \Phi^4 theory is generally believed to have the same simple massive form \sqrt{{\bf p}^2 + m^2_h} as in the symmetric phase where < \Phi >=0. However, in lattice simulations…

High Energy Physics - Phenomenology · Physics 2011-04-04 Maurizio Consoli

We develop a method to infer log-normal random fields from measurement data affected by Gaussian noise. The log-normal model is well suited to describe strictly positive signals with fluctuations whose amplitude varies over several orders…

Instrumentation and Methods for Astrophysics · Physics 2013-03-19 Niels Oppermann , Marco Selig , Michael R. Bell , Torsten A. Enßlin

Building on the recent derivation of a bare factorization theorem for the $b$-quark induced contribution to the $h\to\gamma\gamma$ decay amplitude based on soft-collinear effective theory, we derive the first renormalized factorization…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang

We study the effects of gauge-symmetry breaking (GSB) perturbations in three-dimensional lattice gauge theories with scalar fields. We study this issue at transitions in which gauge correlations are not critical and the gauge symmetry only…

High Energy Physics - Lattice · Physics 2021-08-04 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We have performed a systematic study of the phase transition in the pure compact U(1) lattice gauge theory in the extended coupling parameter space (\beta, \gamma) on toroidal and spherical lattices. The observation of a non-zero latent…

High Energy Physics - Lattice · Physics 2009-10-31 Isabel Campos , Andres Cruz , Alfonso Tarancon

The charge-transfer (CT) together with the polarization energy appears at second and higher orders in symmetry-adapted perturbation theory (SAPT). At present there is no theoretically compelling way of isolating the charge-transfer energy…

Chemical Physics · Physics 2013-08-07 Alston J. Misquitta

We investigate the confinement-Coulomb phase transition in the four-dimensional (4D) pure compact U(1) gauge theory on spherical lattices. The action contains the Wilson coupling beta and the double charge coupling gamma. The lattice is…

High Energy Physics - Lattice · Physics 2009-10-28 J. Jersak , C. B. Lang , T. Neuhaus

We study the two-point correlator of a modified Confined-Coulomb transition order parameter in four dimensional compact U(1) lattice gauge theory with Wilson action. Its long distance behavior in the confined phase turns out to be governed…

High Energy Physics - Lattice · Physics 2009-11-11 Luca Tagliacozzo

We investigate the continuum limit of the gauge-ball spectrum in the four-dimensional pure U(1) lattice gauge theory. In the confinement phase we identify various states scaling with the correlation length exponent $\nu \simeq 0.35$. The…

High Energy Physics - Lattice · Physics 2009-10-30 J. Cox , W. Franzki , J. Jersak , C. B. Lang , T. Neuhaus , P. W. Stephenson

We show that, independently of the boundary conditions, the two phases of the 4-dimensional compact U(1) lattice gauge theory can be characterized by the presence or absence of an ``infinite'' current network, with an appropriate definition…

High Energy Physics - Lattice · Physics 2009-10-28 W. Kerler , C. Rebbi , A. Weber

The transfer-matrix of U(1) lattice gauge theory is investigated in the field Fourier space, the basis of which consists of the quantized currents on lattice links. Based on a lattice version of the current conservation, the transfer-matrix…

High Energy Physics - Lattice · Physics 2021-11-23 Afsaneh Kianfar , Amir H. Fatollahi

We consider the 4d compact U(1) gauge theory with extended action S=-beta sum_P cos theta_P -gamma sum_P cos 2 theta_P We give a full characterization of the phase diagram of this model using the notion of flux. The relation with the usual…

High Energy Physics - Lattice · Physics 2009-11-10 Michele Vettorazzo , Philippe de Forcrand

As a first step towards a nonperturbative investigation of the gauge-fixing (Rome) approach to lattice chiral gauge theories we study a U(1) model with an action that includes a local gauge-fixing term and a mass counterterm for the gauge…

High Energy Physics - Lattice · Physics 2009-10-30 Wolfgang Bock , Maarten Golterman , Yigal Shamir

A generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of 3D $\mathrm{U}(1)$ gauge theory these…

High Energy Physics - Lattice · Physics 2022-11-28 A. Banerjee , D. Banerjee , G. Kanwar , A. Mariani , T. Rindlisbacher , U. J. Wiese

We study the phase diagram of the $U(2) \times U(2)$ scalar model in $d=4$ dimensions. We find that the phase transition is of first order in most of the parameter space. The theory can still be relevant to continuum physics (as an…

High Energy Physics - Lattice · Physics 2009-10-30 D. Espriu , V. Koulovassilopoulos , A. Travesset

It is well known that in low energy supersymmetry the ratio of the gaugino mass to the gauge coupling squared, M/alpha, is renormalization group invariant to one-loop. We present a systematic analysis of the corrections to this ratio,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Graham D. Kribs

General arguments related to ``triviality'' predict that, in the broken phase of $(\lambda\Phi^4)_4$ theory, the condensate $<\Phi>$ re-scales by a factor $Z_{\phi}$ different from the conventional wavefunction-renormalization factor,…

High Energy Physics - Lattice · Physics 2009-10-31 P. Cea , M. Consoli , L. Cosmai

The line of phase transitions, separating the confinement and the Coulomb phases in the four-dimensional pure compact U(1) gauge theory with extended Wilson action, is reconsidered. We present new numerical evidence that a part of this…

High Energy Physics - Lattice · Physics 2009-10-28 J. Jersak , C. B. Lang , T. Neuhaus

We demonstrate that the quantized U(1) lattice gauge theory in four Euclidean dimensions can be obtained as the long time limit of the corresponding classical U(1) gauge theory in 4+1 dimensions. The Planck constant hbar is related to the…

High Energy Physics - Lattice · Physics 2007-05-23 Tamas S. Biro , Berndt Muller

Conventional gauge-fixing schemes such as R$_\xi$ gauges may lead to a violation of the Higgs-boson low-energy theorem beyond the tree level. To elucidate this fact, we study a simple model whose U(1) gauge symmetry is spontaneously broken,…

High Energy Physics - Phenomenology · Physics 2009-10-30 Apostolos Pilaftsis