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The anomalous dimensions of operators in the purely gluonic SU(2,1|2) sector of any planar conformal N=2 theory can be read off from the N=4 SYM results by replacing the N=4 coupling constant by an interpolating function of the N=2 coupling…

High Energy Physics - Theory · Physics 2016-01-06 Vladimir Mitev , Elli Pomoni

We make a detailed analysis of the spontaneous $Z_{2}$-symmetry breaking in the two dimensional real $\phi^{4}$ theory with the tensor renormalization group approach, which allows us to take the thermodynamic limit easily and determine the…

High Energy Physics - Lattice · Physics 2019-06-26 Daisuke Kadoh , Yoshinobu Kuramashi , Yoshifumi Nakamura , Ryo Sakai , Shinji Takeda , Yusuke Yoshimura

A generalized constant coupling approximation for classical geometrically frustrated antiferromagnets is presented. Starting from a frustrated unit we introduce the interactions with the surrounding units in terms of an internal effective…

Strongly Correlated Electrons · Physics 2009-10-31 A. J. Garcia-Adeva , D. L. Huber

The applicability of a broken symmetry version of the $G_0W_0$ approximation to the calculation of isotropic exchange coupling constants has been studied. Using a simple H--He--H model system the results show a significant and consistent…

Strongly Correlated Electrons · Physics 2020-03-16 Akseli Mansikkamäki , Zhishou Huang , Naoya Iwahara , Liviu F. Chibotaru

We improve the theoretical estimates of the critical exponents for the three-dimensional Heisenberg universality class. We find gamma=1.3960(9), nu=0.7112(5), eta=0.0375(5), alpha=-0.1336(15), beta=0.3689(3), and delta=4.783(3). We consider…

Statistical Mechanics · Physics 2009-11-07 M. Campostrini , M. Hasenbusch , A. Pelissetto , P. Rossi , E. Vicari

We present in detail the procedure for calculating the heterotic one-loop effective action. We focus on gravitational and gauge couplings. We show that the two-derivative couplings of the gravitational sector are not renormalized at one…

High Energy Physics - Theory · Physics 2008-02-03 E. Kiritsis , C. Kounnas , M. Petropoulos , J. Rizos

Triple gauge boson couplings between Z, gamma and the W boson are determined by exploiting their impact on radiative corrections to fermion-pair production in e+e- interactions at centre-of-mass energies near the Z-pole. Recent values of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Peter Molnar , Martin W. Gruenewald

We consider $\phi^3$ theory in $6-2\epsilon$ with $F_4$ global symmetry. The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed. The anomalous dimensions of operators quadratic or cubic in $\phi$ are…

High Energy Physics - Theory · Physics 2016-12-20 Yi Pang , Junchen Rong , Ning Su

We develop an efficient algorithm for evaluating divergent perturbation expansions of field theories in the bare coupling constant g_B for which we possess a finite number L of expansion coefficients plus two more informations: The…

Condensed Matter · Physics 2009-10-31 Florian Jasch , Hagen Kleinert

Effective field theories provide a suitable framework for both particle physics and statistical physics. We delve deeper into the study of the effective three-dimensional scalar field theory for its application to statistical physics,…

Statistical Mechanics · Physics 2026-05-12 Jose Gaite

The noncommutative selfdual \phi^3 model in 6 dimensions is quantized and essentially solved, by mapping it to the Kontsevich model. The model is shown to be renormalizable and asymptotically free, and solvable genus by genus. It requires…

High Energy Physics - Theory · Physics 2009-03-16 Harald Grosse , Harold Steinacker

We calculate the fractal dimension $d_{\rm f}$ of critical curves in the $O(n)$ symmetric $(\vec \phi^2)^2$-theory in $d=4-\varepsilon$ dimensions at 6-loop order. This gives the fractal dimension of loop-erased random walks at $n=-2$,…

Statistical Mechanics · Physics 2020-01-10 Mikhail Kompaniets , Kay Joerg Wiese

The partition function of the symmetric (zero electric field) eight-vertex model on a square lattice can be formulated either in the original "electric" vertex format or in an equivalent "magnetic" Ising-spin format. In this paper, both…

Statistical Mechanics · Physics 2018-01-17 Roman Krčmár , Ladislav Šamaj

The scale-dependent renormalized coupling of SU(3) gauge theory coupled to Nf = 2 flavors of massless Dirac flavors in the sextet representation is presented in the range 0 < g^2 < 6.5. This range includes the location where the…

High Energy Physics - Lattice · Physics 2015-11-17 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

The ferromagnet-to-paramagnet transition of the four-dimensional random-field Ising model with Gaussian distribution of the random fields is studied. Exact ground states of systems with sizes up to 32^4 are obtained using graph theoretical…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann

Within the four-loop $\ve$ expansion, we study the critical behavior of certain antiferromagnets with complicated ordering. We show that an anisotropic stable fixed point governs the phase transitions with new critical exponents. This is…

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

Using results from conformal field theory, we compute several universal amplitude ratios for the two-dimensional Ising model at criticality on a symmetric torus. These include the correlation-length ratio x^\star = \lim_{L\to\infty}…

Statistical Mechanics · Physics 2015-10-08 Jesús Salas , Alan D. Sokal

We compute the one-loop gauge couplings in six-dimensional non-Abelian gauge theories on the T^2/Z_2 orbifold with general GUT breaking boundary conditions. For concreteness, we apply the obtained general formulae to the gauge coupling…

High Energy Physics - Phenomenology · Physics 2014-11-18 Hyun Min Lee

Critical temperature of quasi-one-dimensional general-spin Ising ferromagnets is investigated by means of the cluster Monte Carlo method performed on infinite-length strips, L times infty or L times L times infty. We find that in the weak…

Statistical Mechanics · Physics 2007-05-23 Synge Todo

Indefinite causal orders have been shown to enable a precision of inverse square N in quantum parameter estimation, where N is the number of independent processes probed in an experiment. This surpasses the widely accepted ultimate quantum…

Quantum Physics · Physics 2025-05-07 Yu Guo , Yuehan Chen , Geng Chen , Xiao-Min Hu , Yun-Feng Huang , Chuan-Feng Li , Guang-Can Guo , Bi-Heng Liu