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Related papers: Chiral sine-Gordon model

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We introduce and study the properties of a periodic model interpolating between the sine-- and the sinh--Gordon theories in $1+1$ dimensions. This model shows the peculiarities, due to the preservation of the functional form of their…

High Energy Physics - Theory · Physics 2019-07-11 N. Defenu , V. Bacsó , I. G. Márián , I. Nándori , A. Trombettoni

We study possible restoration patterns of chiral symmetry in a generalized hidden local symmetry model, which is a low energy effective theory of QCD including pseudo-scalar, vector and axial-vector mesons. We derive Wilsonian…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yoshimasa Hidaka , Osamu Morimatsu , Munehisa Ohtani

We analyze the phase structure and the renormalization group (RG) flow of the generalized sine-Gordon models with nonvanishing mass terms, using the Wegner-Houghton RG method in the local potential approximation. Particular emphasis is laid…

High Energy Physics - Theory · Physics 2009-11-11 I. Nandori , S. Nagy , K. Sailer , U. D. Jentschura

In this paper we study the $c$-function of the sine-Gordon model taking explicitly into account the periodicity of the interaction potential. The integration of the $c$-function along trajectories of the non-perturbative renormalization…

Statistical Mechanics · Physics 2015-12-09 V. Bacsó , N. Defenu , A. Trombettoni , I. Nándori

The phase structure of the layered sine-Gordon (LSG) model is investigated in terms of symmetry considerations by means of a differential renormalization group (RG) method, within the local potential approximation. The RG analysis of the…

High Energy Physics - Theory · Physics 2009-11-11 I. Nandori

We investigate the renormalization group theory of generalized multi-vertex sine-Gordon model by employing the dimensional regularization method and also the Wilson renormalization group method. The vertex interaction is given by…

High Energy Physics - Theory · Physics 2021-04-14 Takashi Yanagisawa

We analyse the renormalizability of the sine-Gordon model by the example of the two-point Green function up to second order in alpha_r(M), the dimensional coupling constant defined at the normalization scale M, and to all orders in beta^2,…

High Energy Physics - Theory · Physics 2007-05-23 H. Bozkaya , M. Faber , A. N. Ivanov , M. Pitschmann

Fluctuations are included in a chiral nucleon-meson model within the framework of the functional renormalization group. The model, with parameters fitted to reproduce the nuclear liquid-gas phase transition, is used to study the phase…

Nuclear Theory · Physics 2015-06-16 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

We study phase transitions in uniformly frustrated SU(N)-symmetric $(2+\epsilon)$-dimensional lattice models describing type-II superconductors near the upper critical magnetic field $H_{c2}(T)$. The low-temperature renormalization-group…

Superconductivity · Physics 2009-10-31 Giancarlo Jug , Boris N. Shalaev

We discuss the nature of criticality in the $\beta^2 = 2 \pi N$ self-dual extention of the sine-Gordon model. This field theory is related to the two-dimensional classical XY model with a N-fold degenerate symmetry-breaking field. We…

Condensed Matter · Physics 2015-06-24 P. Lecheminant , A. O. Gogolin , A. A. Nersesyan

The one-dimensional quantum sine-Gordon system with a linear spatial modulation is investigated in a special case, $\beta ^{2}$ =4$\pi $. The model is tranformed into a massive Thirring model and then is exactly diagonalized, the energy…

Strongly Correlated Electrons · Physics 2007-05-23 Zhiguo Wang , Yumei Zhang

We revisit the exact solution of the two space-time dimensional quantum field theory of a free massless boson with a periodic boundary interaction and self-dual period. We analyze the model by using a mapping to free fermions with a…

High Energy Physics - Theory · Physics 2008-11-26 M. Hasselfield , Taejin Lee , G. W. Semenoff , P. C. E. Stamp

New qualitative picture of vortex length-scale dependence has been found in recent electrical transport measurements performed on strongly anisotropic BSCCO single crystals in zero magnetic field. This indicates the need for a better…

High Energy Physics - Theory · Physics 2009-11-11 I. Nandori , K. Sailer

We develop the functional renormalization group formalism for a tensorial group field theory with closure constraint, in the case of an Abelian just renormalizable model with quartic interactions. The method allows us to obtain a closed but…

High Energy Physics - Theory · Physics 2016-05-10 Dario Benedetti , Vincent Lahoche

We investigate possible renormalization-group fixed points at nonzero coupling in $\phi^3$ theories in six spacetime dimensions, using beta functions calculated to the four-loop level. We analyze three theories of this type, with (a) a…

High Energy Physics - Theory · Physics 2020-08-25 John A. Gracey , Thomas A. Ryttov , Robert Shrock

We apply the functional renormalization group approach to a $\mathcal{N}=1$ supersymmetric gauge model with one chiral superfield coupled to a vector $U(1)$ superfield. We find that the nonrenormalization theorem still works at leading…

High Energy Physics - Theory · Physics 2023-02-22 Jeremy Echeverria , Maximiliano Binder , Ivan Schmidt

The Sine Gordon theory is generalized to include several cosine terms. This is similar to the world sheet description of a string propagating in a tachyon background. This model is studied as a (boundary) 2d euclidean field theory and also…

High Energy Physics - Theory · Physics 2019-03-12 Prafulla Oak , B. Sathiapalan

As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal)…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld

The renormalization group approach is studied for large $N$ models. The approach of Br\'ezin and Zinn-Justin is explained and examined for matrix models. The validity of the approach is clarified by using the vector model as a similar and…

High Energy Physics - Theory · Physics 2008-11-26 Saburo Higuchi , Chigak Itoi , Norisuke Sakai

We investigate the equivalence between Thirring model and sine-Gordon model in the chirally broken phase of the Thirring model. This is unlike all other available approaches where the fermion fields of the Thirring model were quantized in…

High Energy Physics - Theory · Physics 2009-01-07 M. Faber , A. N. Ivanov