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Related papers: Finite size effects in quantum field theories with…

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We study the leading order finite size correction (Luscher's mu-term) associated to moving one-particle states, arbitrary scattering states and finite volume form factors in 1+1 dimensional integrable models. Our method is based on the idea…

High Energy Physics - Theory · Physics 2008-11-26 B. Pozsgay

We discuss the finite-size properties of a simple integrable quantum field theory in 1+1 dimensions with non-trivial boundary conditions. Novel off-critical identities between cylinder partition functions of models with differing boundary…

High Energy Physics - Theory · Physics 2009-10-16 P. Dorey , M. Pillin , A. Pocklington , I. Runkel , R. Tateo , G. M. T. Watts

We present the finite-size scaling theory of one-dimensional quantum critical systems in the presence of boundaries. While the finite-size spectrum in the conformal limit, namely of a conformal field theory with conformally invariant…

Strongly Correlated Electrons · Physics 2024-10-02 Yifan Liu , Haruki Shimizu , Atsushi Ueda , Masaki Oshikawa

The study of Finite Size Effects in Quantum Field Theory allows the extraction of precious perturbative and non-perturbative information. The use of scaling functions can connect the particle content (scattering theory formulation) of a QFT…

High Energy Physics - Theory · Physics 2017-08-23 Francesco Ravanini

We study the influence of boundary conditions on the finite-size corrections of a one-dimensional (1D) quantum spin model by exact and perturbative theoretic calculations. We obtain two new infinite sets of universal amplitude ratios for…

Statistical Mechanics · Physics 2015-05-18 N. Sh. Izmailian , Chin-Kun Hu

We develop methods to extract resonance widths from finite volume spectra of 1+1 dimensional quantum field theories. Our two methods are based on Luscher's description of finite size corrections, and are dubbed the Breit-Wigner and the…

High Energy Physics - Theory · Physics 2008-11-26 B. Pozsgay , G. Takacs

In this paper we derive from field theory a L\"uscher-formula, which gives the leading exponentially small in volume corrections to the 1-particle form-factors in non-diagonally scattering integrable quantum field theories. Our final…

High Energy Physics - Theory · Physics 2021-05-18 Árpád Hegedűs

In this thesis we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theory with boundaries, with emphasis to sine-Gordon model with Dirichlet boundary…

High Energy Physics - Theory · Physics 2007-05-23 Marco Bellacosa

We discuss signatures of bound-state formation in finite volume via the Luscher finite size method. Assuming that the phase-shift formula in this method inherits all aspects of the quantum scattering theory, we may expect that the…

High Energy Physics - Lattice · Physics 2008-11-26 Shoichi Sasaki , Takeshi Yamazaki

The exact finite-size spectra for several quantum impurity models related to the Kondo problem are obtained from the Bethe ansatz solutions. Using the finite-size scaling in boundary conformal field theory, we determine various surface…

Condensed Matter · Physics 2007-05-23 S. Fujimoto , N. Kawakami , S. -K. Yang

We study the quantum field theory of a charged $\phi^4$ field in lattice regularization at finite density and low temperature in 2 and 4 dimensions with the goal of analyzing the connection of condensation phenomena to scattering data in a…

High Energy Physics - Lattice · Physics 2018-06-20 Christof Gattringer , Mario Giuliani , Oliver Orasch

The quantum theory of the Liouville model with imaginary field is considered using the quantum inverse scattering method. An integrable structure with nontrivial spectral parameter dependence is developed for lattice Liouville theory by…

High Energy Physics - Theory · Physics 2009-10-28 L. D. FADDEEV , O. TIRKKONEN

In this letter we investigate the finite size scaling effect on SLE($\kappa,\rho$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($\kappa,\rho$). As an…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Rajabpour , S. Moghimi-Araghi

The Bethe ansatz equations of the 1-D Hubbard model under open boundary conditions are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model with open boundaries. Through the finite-size correction, we…

Strongly Correlated Electrons · Physics 2008-02-03 Tetsuo Deguchi , Ruihong Yue

It has been suggested that the volume dependence of the spectral weight could be utilized to distinguish single and multi-particle states in Monte Carlo simulations. In a recent study using a solvable model, the Lee model, we found that…

High Energy Physics - Lattice · Physics 2010-01-08 Zhi-Yuan Niu , Ming Gong , Chuan Liu , Yan Shen

We construct an effective Quantum Field Theory for the wrapping effects in 1+1 dimensional models of factorised scattering. The recently developed graph-theoretical approach to TBA gives the perturbative desctiption of this QFT. For the…

High Energy Physics - Theory · Physics 2022-05-06 Ivan Kostov

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite size contributions to a general measure of ground state…

Quantum Physics · Physics 2009-11-13 F. C. Alcaraz , M. S. Sarandy

We study the spectrum of the scaling Lee-Yang model on a finite interval from two points of view: via a generalisation of the truncated conformal space approach to systems with boundaries, and via the boundary thermodynamic Bethe ansatz.…

High Energy Physics - Theory · Physics 2009-10-30 Patrick Dorey , Andrew Pocklington , Roberto Tateo , Gerard Watts

We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections in a crucial way depend on the parity of $N$; we…

Statistical Mechanics · Physics 2009-11-11 N. Sh. Izmailian , V. B. Priezzhev , Philippe Ruelle , Chin-Kun Hu

In this thesis we investigate finite size effects in 1+1 dimensional integrable QFT. In particular we consider matrix elements of local operators (finite volume form factors) and vacuum expectation values and correlation functions at finite…

High Energy Physics - Theory · Physics 2009-07-27 Balázs Pozsgay
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