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I summarise what recent lattice calculations tell us about the large-N limit of SU(N) gauge theories in 3+1 dimensions. The focus is on confinement, how close SU(oo) is to SU(3), new stable strings at larger N, deconfinement, topology and…

High Energy Physics - Theory · Physics 2017-08-23 M. Teper

In this work, extending a previous study at zero temperature ($T=0$), we perform a systematic study of the modifications to the QCD vacuum energy density $\epsilon_{vac}$ in the finite-temperature case, above the chiral transition at $T_c$,…

High Energy Physics - Phenomenology · Physics 2019-06-18 Enrico Meggiolaro

If the geometry of space-time is $\nc$, i.e. $[x_{\mu},x_{\nu}]=i \theta_{\mu \nu}$, then $\nc$ $\cpviolng$ effects may be manifest at low energies. For a $\nc$ scale $\Lambda \equiv \theta^{-1/2} \leq 2 TeV$, $\cpviol$ from $\ncg$ is…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Hinchliffe , N. Kersting

We consider QCD at Theta ~ Pi with two, one and zero light flavours Nf, using the Di Vecchia-Veneziano-Witten effective lagrangian. For Nf=2, we show that CP is spontaneously broken at Theta = Pi for finite quark mass splittings, z= Md/Mu…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michel H. G. Tytgat

Spontaneous CP-violation in the strong interaction is analyzed at theta = pi within the framework of the two-flavor NJL model. It is found that the occurrence of spontaneous CP-violation at theta = pi depends on the strength of the 't Hooft…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniel Boer , Jorn K. Boomsma

We use the fivebrane of M theory to study the $\theta$ dependence of four dimensional $SU(N_c)$ super Yang-Mills and super QCD softly broken by a gaugino mass. We compute the energy of the vacuum in the supergravity approximation. The…

High Energy Physics - Theory · Physics 2009-09-29 Yaron Oz , Andrea Pasquinucci

We numerically study the phase structure of the CP(1) model in the presence of a topological $\theta$-term, a regime afflicted by the sign problem for conventional lattice Monte Carlo simulations. Using a bond-weighted tensor…

High Energy Physics - Lattice · Physics 2022-09-02 Katsumasa Nakayama , Lena Funcke , Karl Jansen , Ying-Jer Kao , Stefan Kühn

State-dependent gauge principle invoked to realize the relativity to a measuring device, has been proposed. Self-consistent global (cosmic) potential forms the state space of the fundamental field and its connection, agreed with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Leifer

Recent studies on the 't Hooft anomaly matching condition have suggested a nontrivial phase structure in 4D SU($N$) gauge theory at $\theta=\pi$. In the large-$N$ limit, it has been found that CP symmetry at $\theta=\pi$ is broken in the…

High Energy Physics - Lattice · Physics 2023-01-11 Akira Matsumoto , Kohta Hatakeyama , Mitsuaki Hirasawa , Masazumi Honda , Jun Nishimura , Atis Yosprakob

Inspired by the results of the Ising model within an imaginary external magnetic field, we introduce a transformation in quantum systems with a theta-vacuum term that amounts to a rescaling of z=cos(theta/2). Making use of this…

High Energy Physics - Lattice · Physics 2009-11-10 V. Azcoiti , G. Di Carlo , A. Galante , V. Laliena

Quantum gravity can determine the dependence of gauge couplings in a scalar field, which is related to possible fifth forces and time varying fundamental "constants". This prediction is based on the scaling solution of functional flow…

High Energy Physics - Theory · Physics 2022-11-30 C. Wetterich

Gauge theories in various dimensions often admit discrete theta angles, that arise from gauging a global symmetry with an additional symmetry protected topological (SPT) phase. We discuss how the global symmetry and 't Hooft anomaly depends…

High Energy Physics - Theory · Physics 2021-02-17 Po-Shen Hsin , Ho Tat Lam

We formulate the necessary conditions for a scalar potential to exhibit spontaneous CP violation. Associated with each complex scalar field is a U(1) symmetry that may be explicitly broken by terms in the scalar potential (called spurions).…

High Energy Physics - Phenomenology · Physics 2015-03-20 Howard E. Haber , Ze'ev Surujon

We argue that CP violation has rather dramatic impact on the "gravity as the weakest force" conjecture. Namely we find that new ultraviolet scale must be $\Lambda \lesssim \theta g^3 M_P$, where $\theta$ is an effective parameter describing…

High Energy Physics - Theory · Physics 2008-07-05 Archil Kobakhidze

We propose a method to obtain physical quantities in the theta vacuum from those at fixed topology, which are different by finite size effects. Extending the work by Brower et al., we derive the formula to estimate these finite size…

High Energy Physics - Lattice · Physics 2009-04-14 Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Tetsuya Onogi

"\theta-angle monodromy" occurs when a theory possesses a landscape of metastable vacua which reshuffle as one shifts a periodic coupling \theta by a single period. "Axion monodromy" models arise when this parameter is promoted to a…

High Energy Physics - Theory · Physics 2013-05-30 Albion Lawrence

The direct CP-violation in the left-right symmetric $SU(2) \times SU(2) \times U(1)$ model is investigated for the decay $b \rightarrow s\gamma$. The calculated CP-asymmetry for the wide range of parameters can be larger than in standard…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Asatrian , A. Ioannissian

A detailed investigation of the temperature dependence of the spatial string tension $\sigma_s$ in $SU(2)$ gauge theory is presented. A sustained performance of 3~GFLOPS on a 64K Connection Machine CM-2 equivalent has been achieved. Scaling…

High Energy Physics - Lattice · Physics 2010-11-01 G. S. Bali , J. Fingberg , U. M. Heller , F. Karsch , K. Schilling

The dimension-six CP-violating SU_L(2)\times U_Y(1) invariant operators involving the tau lepton are studied. The constraints from the available experimental data on tau dipole moments are derived. Under the current constraints, the induced…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tao Huang , Jin Min Yang , Bing-Lin Young , Xinmin Zhang

The large N limit of SU(N) gauge theories in 3+1 dimensions is investigated on the lattice by extrapolating results obtained for $2 \le N \le 5$. A numerical determination of the masses of the lowest-lying glueball states and of the…

High Energy Physics - Lattice · Physics 2015-06-25 B. Lucini , M. Teper
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