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We present a detailed study of the static and dynamic behavior of long semiflexible polymer chains in a melt. Starting from previously obtained fully equilibrated high molecular weight polymer melts [{\it Zhang et al.} ACS Macro Lett. 3,…

Soft Condensed Matter · Physics 2016-05-25 Hsiao-Ping Hsu , Kurt Kremer

In this paper we revisit the problem of a (non self-avoiding) polymer chain in a random medium which was previously investigated by Edwards and Muthukumar (EM). As noticed by Cates and Ball (CB) there is a discrepancy between the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yadin Y. Goldschmidt

We present a renormalization procedure for Polyakov loops which explicitly implements the fact that the renormalization constant depends only on the ultraviolet cutoff. Using this we study the renormalized Polyakov loops in all…

High Energy Physics - Lattice · Physics 2008-11-26 Sourendu Gupta , Kay Hubner , Olaf Kaczmarek

We analyze the renormalizability properties of pure gauge noncommutative SU(N) theory in the $\theta$-expanded approach. We find that the theory is one-loop renormalizable to first order in $\theta$.

High Energy Physics - Theory · Physics 2009-11-11 Maja Buric , Dusko Latas , Voja Radovanovic

We describe a novel framework for partially quenched chiral perturbation theory based on the replica method. The computational rules are exceedingly simple. We illustrate these rules by computing the partially quenched chiral condensate to…

High Energy Physics - Lattice · Physics 2009-10-31 P. H. Damgaard , K. Splittorff

We study the optimized perturbation theory (OPT) at finite temperature, which is a self-consistent resummation method. Firstly, we generalize the idea of the OPT to optimize the coupling constant in lambda phi^4 theory, and give a proof of…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. Chiku

We report on quantitative comparisons between simulation results of a bead-spring model and mode-coupling theory calculations for the structural and conformational dynamics of a supercooled, unentangled polymer melt. We find…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Martin Aichele , Hendrik Meyer , Matthias Fuchs , Jörg Baschnagel

We prove that in the limit where the beta function is dominated by the 1-loop contribution (``large beta_0 limit'') diagonal Pad\'e Approximants (PA's) of perturbative series become exactly renormalization scale (RS) independent. This…

High Energy Physics - Phenomenology · Physics 2009-10-30 Einan Gardi

The pseudogap phenomena induced by the SC fluctuation are investigated in details. We perform a calculation beyond the 1-loop approximation. The SC fluctuation is microscopically derived on the basis of the repulsive Hubbard model. The…

Superconductivity · Physics 2009-11-10 Youichi Yanase

The irreversibility of the renormalization group flow is conjectured to be closely related to the concept of entropy. In this paper, the variation of eigenvalues of the Laplacian in the Polyakov action under the renormalization group flow…

Mathematical Physics · Physics 2017-09-20 Dan Li

We argue that the field theory that descibes randomly branched polymers is not generally conformally invariant in two dimensions at its critical point. In particular, we show (i) that the most natural formulation of conformal invariance for…

High Energy Physics - Theory · Physics 2009-10-22 Jeffrey Miller , Keith De'Bell

We study Casimir scaling and renormalization properties of Polyakov loops in different irreducible representations in SU(N) gauge theories; in particular, we investigate the approach to the large-N limit, by performing lattice simulations…

High Energy Physics - Lattice · Physics 2012-05-17 Anne Mykkanen , Marco Panero , Kari Rummukainen

The self-gravitating thermal gas (non-relativistic particles of mass m at temperature T) is exactly equivalent to a field theory with a single scalar field phi(x) and exponential self-interaction. We build up perturbation theory around a…

Astrophysics · Physics 2009-10-31 B. Semelin , H. J. de Vega , N. S'anchez , F. Combes

We present a simple analytical theory of flexible polymer chain dissolved in a good solvent, carrying permanent freely oriented dipoles on the monomers. We take into account the dipole correlations within the random phase approximation…

Soft Condensed Matter · Physics 2017-03-17 Yu. A. Budkov , N. N. Kalikin , A. L. Kolesnikov

The adiabatic connection fluctuation-dissipation theorem with the random phase approximation (RPA) has recently been applied with success to obtain correlation energies of a variety of chemical and solid state systems. The main merit of…

Materials Science · Physics 2015-03-20 Thomas Olsen , Kristian S. Thygesen

We investigate the renormalization group optimized perturbation theory (RGOPT) at the next-to-next-to-leading order (NNLO) for the thermal scalar field theory. From comparing three thus available successive RGOPT orders we illustrate the…

High Energy Physics - Phenomenology · Physics 2021-12-01 Loïc Fernandez , Jean-Loïc Kneur

We derive the three-loop order renormalization group equations that describe the flat phase of polymerized membranes within the modified minimal subtraction scheme, following the pioneering one-loop order computation of Aronovitz and…

Statistical Mechanics · Physics 2022-02-03 S. Metayer , D. Mouhanna , S. Teber

The influence of nonequilibrium initial values of the order parameter on its evolution at a critical point is described using a renormalization group approach of the field theory. The dynamic critical exponent $\theta'$ of the short time…

Statistical Mechanics · Physics 2010-05-28 P. V. Prudnikov , V. V. Prudnikov , I. A. Kalashnikov

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 develop a renormalization group method to investigate synchronization clusters in a one-dimensional chain of nearest-neighbor coupled phase oscillators. The method is best suited for chains with strong disorder in the intrinsic…

Pattern Formation and Solitons · Physics 2016-11-28 Oleg Kogan , Jeffrey L. Rogers , M. C. Cross , G. Refael