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The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant…

Statistical Mechanics · Physics 2026-04-15 M. Tóth , J. H. Pixley , G. Takács , M. Kormos

For lattice calculations with light dynamical quarks, finite size effects have become an important aspect. We study finite size effects in nucleon masses on N_f=2 dynamical lattices of 1-2 fm. Predictions for the finite size effects are…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , T. Bakeyev , M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. Rakow , G. Schierholz , H. Stüben

We investigate the thermal quantum and total correlations in the anisotropic XY spin chain in transverse field. While we adopt concurrence and geometric quantum discord to measure quantum correlations, we use measurement-induced nonlocality…

Quantum Physics · Physics 2012-11-16 B. Çakmak , G. Karpat , Z. Gedik

We try to use scale-invariance and the large-N limit to find a non-trivial 4d O(N) scalar field model with controlled UV behavior and naturally light scalar excitations. The principle is to fix interactions by requiring the effective action…

High Energy Physics - Theory · Physics 2015-03-13 Govind S. Krishnaswami

We study the bulk and finite-size critical behavior of the O$(n)$ symmetric $\phi^4$ theory with spatially anisotropic interactions of non-cubic symmetry in $d<4$ dimensions. In such systems of a given $(d,n)$ universality class, two-scale…

Statistical Mechanics · Physics 2009-11-10 X. S. Chen , V. Dohm

We compute the scaling dimensions of a family of fixed-charge operators at the infrared fixed point of the $O(N)$ model featuring cubic interactions in $d=6-\epsilon$ for arbitrary $N$ to leading and subleading order in the charge but to…

High Energy Physics - Theory · Physics 2021-10-13 Oleg Antipin , Jahmall Bersini , Francesco Sannino , Zhi-Wei Wang , Chen Zhang

Finite-size scaling is investigated in detail around the critical point in the heavy-quark region of nonzero temperature QCD. Numerical simulations are performed with large spatial volumes up to the aspect ratio $N_s/N_t=12$ at a fixed…

High Energy Physics - Lattice · Physics 2022-01-05 Atsushi Kiyohara , Masakiyo Kitazawa , Shinji Ejiri , Kazuyuki Kanaya

In this proceeding, we discuss the finite-size scaling analysis of the order parameter related to the chiral phase transition in QCD with two massless quarks. We use data obtained in lattice QCD calculations performed with highly improved…

High Energy Physics - Lattice · Physics 2026-04-01 Sabarnya Mitra , Jishnu Goswami , Frithjof Karsch

We consider finite volume (or equivalently, finite temperature) expectation values of local operators in integrable quantum field theories using a combination of numerical and analytical approaches. It is shown that the truncated conformal…

High Energy Physics - Theory · Physics 2015-06-15 I. M. Szécsényi , G. Takács , G. M. T. Watts

Attempts to understand zero temperature phase transitions have forced physicists to consider a regime where the standard paradigms of condensed matter physics break down [1-4]. These quantum critical systems lack a simple description in…

Quantum Gases · Physics 2012-07-04 Kaden R. A. Hazzard , Erich J. Mueller

We consider systems with slab geometry of finite thickness L that undergo second order phase transitions in the bulk limit and belong to the universality class of O(n)-symmetric systems with short-range interactions. In these systems the…

Statistical Mechanics · Physics 2012-07-04 Denis Comtesse , Alfred Hucht , Daniel Grüneberg

We study the $O(N)$-invariant $\phi^4$ model on the simple cubic lattice by using Monte Carlo simulations. By using a finite size scaling analysis, we obtain accurate estimates for the critical exponents $\nu$ and $\eta$ for $N=4$, $5$,…

High Energy Physics - Lattice · Physics 2022-04-07 Martin Hasenbusch

We consider an effective kinetic description for quantum many-body systems, which is not based on a weak-coupling or diluteness expansion. Instead, it employs an expansion in the number of field components N of the underlying scalar quantum…

High Energy Physics - Phenomenology · Physics 2018-08-28 R. Walz , K. Boguslavski , J. Berges

We derive a finite set of nonlinear integral equations for describing the finite size dependence of the ground state energy of the O(4) nonlinear sigma model. By modifying the kernel functions of these equations we propose nonlinear…

High Energy Physics - Theory · Physics 2009-11-10 Arpad Hegedus

In this paper we apply the formalism of translation invariant (continuous) matrix product states in the thermodynamic limit to $(1+1)$ dimensional critical models. Finite bond dimension bounds the entanglement entropy and introduces an…

Quantum Physics · Physics 2015-06-18 Vid Stojevic , Jutho Haegeman , I. P. McCulloch , L. Tagliacozzo , Frank Verstraete

The extension of strongly anisotropic or dynamical scaling to local scale invariance is investigated. For the special case of an anisotropy or dynamical exponent $\theta=z=2$, the group of local scale transformation considered is the…

High Energy Physics - Theory · Physics 2009-10-22 Malte Henkel

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

Statistical Mechanics · Physics 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

We exploit a prescription to observe directly the physical properties of the thermodynamic limit under continuously applied field in one-dimensional quantum finite lattice systems. By systematically scaling down the energy of the…

Strongly Correlated Electrons · Physics 2015-06-16 Chisa Hotta , Naokazu Shibata

We revisit the scalar $O(N)$ model in the dimension range $4<d<6$ and study the effects caused by its metastability. As shown in previous work, this model formally possesses a fixed point where, perturbatively in the $1/N$ expansion, the…

High Energy Physics - Theory · Physics 2020-07-22 Simone Giombi , Richard Huang , Igor R. Klebanov , Silviu S. Pufu , Grigory Tarnopolsky