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We compute the form factors of the order and disorder operators, together with those of the stress-energy tensor, of the two-dimensional three-state Potts model with vacancies along its thermal deformation of the critical point. At…

High Energy Physics - Theory · Physics 2024-03-19 Giuseppe Mussardo , Marco Panero , Andrea Stampiggi

We present results from a Monte Carlo simulation of the Nambu - Jona-Lasinio model, with continuous SU(2)xSU(2) chiral symmetry, in four Euclidean dimensions. Different model equations of state, corresponding to different theoretical…

High Energy Physics - Lattice · Physics 2009-10-30 Simon Hands , John B. Kogut

We calculate the new dinamic exponent $\theta $ of the 4-state Potts model, using short-time simulations. Our estimates $\theta_{1}=-0.0471(33)$ and $% \theta_{2}=$ $-0.0429(11)$ obtained by following the behavior of the magnetization or…

Statistical Mechanics · Physics 2009-11-10 Roberto da Silva , J. R. Drugowich de Felicio

In recent large scale Monte-Carlo simulations of various models of Theta-point polymers in three dimensions Grassberger and Hegger found logarithmic corrections to mean field theory with amplitudes much larger than the universal amplitudes…

Statistical Mechanics · Physics 2009-10-31 Johannes Hager , Lothar Sch"afer

In this study, we performed Monte Carlo simulations of the $q=3,4$-Potts model on quasiperiodic decagonal lattices (QDL) to assess the critical behavior of these systems. Using the single histogram technique in conjunction with the…

Statistical Mechanics · Physics 2015-10-05 Carlos Handrey Araujo Ferraz

With the approaching start-up of the experiments at LHC, the urgency to quantify systematic uncertainties of the generators, used in the interpretation of the data, is becoming pressing. The PHOTOS Monte Carlo program is often used for the…

High Energy Physics - Phenomenology · Physics 2023-09-15 P. Golonka , Z. Was

We compute logarithmic corrections to the twisted index $B^g_6$ in four-dimensional $\mathcal{N}=4$ and $\mathcal{N}=8$ string theories using the framework of the Quantum Entropy Function. We find that these vanish, matching perfectly with…

High Energy Physics - Theory · Physics 2014-11-12 Abhishek Chowdhury , Rajesh Kumar Gupta , Shailesh Lal , Milind Shyani , Somyadip Thakur

We consider q-state Potts models coupled by their energy operators. Restricting our study to self-dual couplings, numerical simulations demonstrate the existence of non-trivial fixed points for 2 <= q <= 4. These fixed points were first…

Statistical Mechanics · Physics 2009-10-31 Vladimir Dotsenko , Jesper Lykke Jacobsen , Marc-Andre Lewis , Marco Picco

We study the two-dimensional Potts model on the square lattice in the presence of quenched random-bond impurities. For q>4 the first-order transitions of the pure model are softened due to the impurities, and we determine the resulting…

Statistical Mechanics · Physics 2015-06-25 Jesper Lykke Jacobsen , John Cardy

Higher order $(\alpha/\pi)^2 (Z \alpha)^6$ logarithmic corrections to the hydrogen Lamb shift are calculated. The results obtained show the two-loop contribution has a very peculiar behavior, and significantly alter the theoretical…

Atomic Physics · Physics 2009-11-06 Krzysztof Pachucki

We study the logarithmic corrections to various CFT partition functions in the context of the AdS$_4$/CFT$_3$ correspondence for theories arising on the worldvolume of M2-branes. We utilize four-dimensional gauged supergravity and heat…

High Energy Physics - Theory · Physics 2024-04-08 Nikolay Bobev , Marina David , Junho Hong , Valentin Reys , Xuao Zhang

We calculate isotope mass shift for several light ions using Dirac wave functions and mass shift operator with relativistic corrections of the order of $(\alpha Z)^2$. Calculated relativistic corrections to the specific mass shift vary from…

Astrophysics · Physics 2009-11-13 V. A. Korol , M. G. Kozlov

This work is a contribution to the study of universality in out-of-equilibrium lattice models undergoing a second-order phase transition at equilibrium. The experimental protocol that we have chosen is the following: the system is prepared…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain

We compute the universal generic corrections to the inflationary power spectrum due to unknown high-energy physics. We arrive at this result via a careful integrating out of massive fields in the "in-in" formalism yielding a consistent and…

High Energy Physics - Theory · Physics 2013-05-30 Mark G. Jackson , Koenraad Schalm

With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling…

Statistical Mechanics · Physics 2014-08-26 L. Wang , N. J. Zhou , B. Zheng

We describe a method for deriving logarithmic corrections in the mass ratio to the S-level of a hydrogen-like atom. With this method, a number of new corrections of this type are calculated analitically for the first time.

High Energy Physics - Phenomenology · Physics 2007-05-23 N. A. Boikova , Y. N. Tyukhtyaev , R. N. Faustov

We simulate lattice models in the three-dimensional XY universality class in the low and the high temperature phase. This allows us to compute a number of universal amplitude ratios with unprecedented precision: R_{\Upsilon}=0.411(2),…

Statistical Mechanics · Physics 2009-11-13 Martin Hasenbusch

The size of non-perturbative corrections to event shape observables is predicted to fall like powers of the inverse centre of mass energy. These power corrections are investigated for different observables from $e^+e^-$-annihilation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Daniel Wicke

We describe an approach to logarithmic conformal field theories as limits of sequences of ordinary conformal field theories with varying central charge c. Logarithmic behaviour arises from degeneracies in the spectrum of scaling dimensions…

Statistical Mechanics · Physics 2013-11-25 John Cardy

Rigidity transitions induced by the formation of system-spanning disordered rigid clusters, like the jamming transition, can be well-described in most physically relevant dimensions by mean-field theories. A dynamical mean-field theory…

Soft Condensed Matter · Physics 2024-08-14 Stephen J. Thornton , Danilo B. Liarte , Itai Cohen , James P. Sethna