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We consider the Resonance Chiral Theory with one multiplet of scalar and pseudoscalar resonances, up to bilinear couplings in the resonance fields, and evaluate its beta-function at one-loop with the use of the background field method. Thus…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Rosell , P. Ruiz-Femenia , J. Portoles

Symmetry restoration is usually understood as a renormalization group induced phenomenon. In this context, the issue of whether one-loop RG equations can be trusted in predicting symmetry restoration has recently been the subject of much…

Strongly Correlated Electrons · Physics 2013-05-29 Robert M. Konik , Hubert Saleur , Andreas W. W. Ludwig

We generalize the recently introduced single-boson exchange formalism to nonlocal interactions. In the functional renormalization group application to the extended Hubbard model in two dimensions, we show that the flow of the rest function…

Strongly Correlated Electrons · Physics 2024-12-11 Aiman Al-Eryani , Sarah Heinzelmann , Kilian Fraboulet , Friedrich Krien , Sabine Andergassen

We develop a renormalized perturbation theory for the dynamics of interacting Brownian particles, which preserves the fluctuation-dissipation relation order by order. We then show that the resulting one-loop theory gives a closed equation…

Disordered Systems and Neural Networks · Physics 2011-06-06 Bongsoo Kim , Kyozi Kawasaki

Using fast off-lattice Monte Carlo simulations with experimentally accessible fluctuations, we report the first systematic study unambiguously quantifying the shift of the order-disorder transition (ODT) $\chi^*$ of symmetric diblock…

Soft Condensed Matter · Physics 2012-01-24 Jing Zong , Qiang Wang

We present a systematic statistical mechanical analysis of the conformational properties of a stiff polyelectrolyte chain with intrachain attractions that are due to counterion correlations. We show that the mean-field solution corresponds…

Soft Condensed Matter · Physics 2007-05-23 Per Lyngs Hansen , Rudi Podgornik , Daniel Svenšek , V. Adrian Parsegian

We present a minimal dynamical model for randomly branched isotropic polymers, and we study this model in the framework of renormalized field theory. For the swollen phase, we show that our model provides a route to understand the well…

Statistical Mechanics · Physics 2015-05-27 Hans-Karl Janssen , Olaf Stenull

The divergent part of the generating functional of the Resonance Chiral Theory is evaluated up to one loop when one multiplet of scalar an pseudoscalar resonances are included and interaction terms which couple up to two resonances are…

High Energy Physics - Phenomenology · Physics 2011-07-19 I. Rosell

We calculate the spin and charge dynamical susceptibilities of a strongly correlated impurity model in a renormalised perturbation theory. The irreducible for vertices for the quasiparticle scattering are deduced from the renormalised…

Strongly Correlated Electrons · Physics 2016-08-31 A. C. Hewson

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all…

Strongly Correlated Electrons · Physics 2009-11-11 Ming-Shyang Chang , Wei Chen , Hsiu-Hau Lin

The randomly pinned planar flux line array is supposed to show a phase transition to a vortex glass phase at low temperatures. This transition has been examined by using a mapping onto a 2D XY-model with random an\-iso\-tropy but without…

Condensed Matter · Physics 2016-08-31 Jan Kierfeld

We discuss various aspects of resummed chiral perturbation theory, which was developed recently in order to consistently include the possibility of large vacuum fluctuations of the ss-pairs and the scenario with smaller value of the chiral…

High Energy Physics - Phenomenology · Physics 2011-09-06 M. Kolesar , J. Novotny

In four-dimensional theories with massless particles, the one-loop amplitudes can be expressed in terms of a basis of scalar integrals and rational terms. Since the scalar bubble integrals are the only UV divergent integrals, the sum of the…

High Energy Physics - Theory · Physics 2015-03-20 Yu-tin Huang , David A. McGady , Cheng Peng

We perform the dimensional reduction of the linear $\sigma$ model at one-loop level. The effective potential of the reduced theory obtained from the integration over the nonzero Matsubara frequencies is exhibited. Thermal mass and coupling…

High Energy Physics - Theory · Physics 2015-06-26 A. P. C. Malbouisson , M. B. Silva-Neto , N. F. Svaiter

We newly develop a renormalization group (RG) improvement for thermally resummed effective potentials. In this method, $\beta$-functions are consistently defined in resummed perturbation theories, so that order-by-order RG invariance is not…

High Energy Physics - Phenomenology · Physics 2024-03-12 Koichi Funakubo , Eibun Senaha

We develop a field-theoretic representation for the configurations of an interface between two ordered phases of a q-state Potts model in two dimensions, in the solid-on-solid approximation. The model resembles the field theory of directed…

Statistical Mechanics · Physics 2007-05-23 John Cardy

We construct a superpotential for the general N=1/2 supersymmetric gauge theory coupled to chiral matter in the fundamental and adjoint representations, and investigate the one-loop renormalisability of the theories.

High Energy Physics - Theory · Physics 2008-11-26 I. Jack , D. R. T. Jones , L. A. Worthy

We analyze the probability of a single loop formation in a long flexible polymer chain in disordered environment in $d$ dimensions. The structural defects are considered to be correlated on large distances $r$ according to a power law $\sim…

Soft Condensed Matter · Physics 2016-04-14 K. Haydukivska , V. Blavatska

We study the effect of a random Flory-Huggins parameter in a symmetric diblock copolymer melt which is expected to occur in a copolymer where one block is near its structural glass transition. In the clean limit the microphase segregation…

Soft Condensed Matter · Physics 2009-11-11 Harry Westfahl , Joerg Schmalian

We compute the beta-function and the anomalous dimension of all the non-derivative operators of the theory up to three-loops for the most general nearest-neighbour O(N)-invariant action together with some contributions to the four-loop…

High Energy Physics - Lattice · Physics 2009-10-22 Sergio Caracciolo , Andrea Pelissetto