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With the help of variational perturbation theory we continue the renormalization constants $\phi^4$-theories in $4- \epsilon$ dimensions to strong bare couplings $g_0$ and find their power behavior in $g_0$, thereby determining all critical…

Condensed Matter · Physics 2009-10-31 Hagen Kleinert

The critical value of the atom-field coupling strength for a finite number of atoms is deter- mined by means of both, semiclassical and exact solutions. In the semiclassical approach we use a variational procedure with coherent and…

Quantum Physics · Physics 2012-12-05 Octavio Castaños , Eduardo Nahmad-Achar , Ramón López-Peña , Jorge G. Hirsch

Using a novel finite size scaling Monte Carlo method, we calculate the four, six and eight point renormalized coupling constants defined at zero momentum in the symmetric phase of the three dimensional Ising system. The results of the 2D…

Statistical Mechanics · Physics 2008-11-26 Jae-Kwon Kim

Critical exponent $\eta$ (Fisher exponent) in $O(N)$-symmetric $\varphi^4$-model was calculated using renormalization group approach in the space of fixed dimension $D=2$ up to 6~loops. The calculation of the renormalization constants was…

Statistical Mechanics · Physics 2016-02-09 L. Ts. Adzhemyan , Yu. V. Kirienko , M. V. Kompaniets

The complete analysis of a model with three quartic coupling constants associated with an O(2N)--symmetric, a cubic, and a tetragonal interactions is carried out within the three-loop approximation of the renormalization-group (RG) approach…

Condensed Matter · Physics 2009-10-30 Andrei Mudrov , Konstantin Varnashev

We present preliminary results of a bayesian fit to the Wilson coefficients of the Standard Model gauge invariant dimension-6 operators involving one or more Higgs fields, using data on electroweak precision observables and Higgs boson…

High Energy Physics - Phenomenology · Physics 2016-06-02 Jorge de Blas , Marco Ciuchini , Enrico Franco , Diptimoy Ghosh , Satoshi Mishima , Maurizio Pierini , Laura Reina , Luca Silvestrini

A rigorous lower bound is obtained for the average resolution of any estimate of a shift parameter, such as an optical phase shift or a spatial translation. The bound has the asymptotic form k_I/<2|G|> where G is the generator of the shift…

Quantum Physics · Physics 2015-06-03 Michael J. W. Hall , Howard M. Wiseman

We use lattice formulation of $\phi^4$ theory in order to investigate non--perturbative features of its continuum limit in two dimensions. In particular, by means of Monte Carlo calculations, we obtain the critical coupling constant…

High Energy Physics - Lattice · Physics 2015-08-26 Paolo Bosetti , Barbara De Palma , Marco Guagnelli

We consider the renormalisation group flow of gauge couplings within the so-called exceptional supersymmetric standard model (E$_6$SSM) based on the low energy matter content of 27 dimensional representations of the gauge group $E_6$,…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. F. King , S. Moretti , R. Nevzorov

We simulate self-avoiding walks on a cubic lattice and determine the second virial coefficient for walks of different lengths. This allows us to determine the critical value of the renormalized four-point coupling constant in the…

Statistical Mechanics · Physics 2008-11-26 Andrea Pelissetto , Ettore Vicari

We provide a study of various quantum phase transitions occurring in the XY Heisenberg chain in a transverse magnetic field using the Meyer-Wallach (MW) measure of (global) entanglement. Such a measure, while being readily evaluated, is a…

Statistical Mechanics · Physics 2018-02-23 Roya Radgohar , Afshin Montakhab

The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid…

Statistical Mechanics · Physics 2009-10-31 S. A. Antonenko , A. I. Sokolov

The one-dimensional isotropic quantum Heisenberg spin systems with random couplings and random spin sizes are investigated using a real-space renormalization group scheme. It is demonstrated that these systems belong to a universality class…

Statistical Mechanics · Physics 2009-10-28 E. Westerberg , A. Furusaki , M. Sigrist , P. A. Lee

We extend the recent one loop analysis of the ultraviolet completion of the $CP(N)$ nonlinear $\sigma$ model in six dimensions to two loop order in the MSbar scheme for an arbitrary covariant gauge. In particular we compute the anomalous…

High Energy Physics - Theory · Physics 2020-08-26 J. A. Gracey

We extend Schwinger's proper-time formalism to provide a method for computing the one-loop effective action for both spinor and scalar quantum electrodynamics in $d=2n>4$ dimensions. The closed form expression for the six-dimensional…

High Energy Physics - Theory · Physics 2026-04-16 Terry Hatzis , Sergei M. Kuzenko

We compute the large $N$ critical exponents $\eta$, $\eta_\phi$ and $1/\nu$ in $d$-dimensions in the chiral Heisenberg Gross-Neveu model to several orders in powers of $1/N$. For instance, the large $N$ conformal bootstrap method is used to…

High Energy Physics - Theory · Physics 2018-05-23 J. A. Gracey

The critical behavior of a complex N-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is…

Statistical Mechanics · Physics 2009-11-07 Andrei Mudrov , Konstantin Varnashev

The contributions of non-standard four-neutrino contact interactions to electroweak observables are considered at the one-loop level by using the effective quantum field theory. The analysis is done in terms of three unknown parameters: the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mikhail Bilenky , Arcadi Santamaria

We numerically investigate the three-dimensional O(6) model on 12^3 to 120^3 lattices within the critical region at zero magnetic field, as well as at finite magnetic field on the critical isotherm and for several fixed couplings in the…

High Energy Physics - Lattice · Physics 2009-11-10 Sven Holtmann , Thomas Schulze

The three-dimensional quenched random bond diluted $(J_1-J_2)$ quantum Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using extensive stochastic series expansion quantum Monte Carlo simulations, we perform very long runs…

Statistical Mechanics · Physics 2020-08-05 U. Kanbur , E. Vatansever , H. Polat