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We investigate the renormalization group (RG) flow of SU(3) lattice gauge theory in a two coupling space with couplings $\beta_{11}$ and $\beta_{12}$ corresponding to $1\times 1$ and $1\times 2$ loops respectively. Extensive numerical…

The interplay of disorder and interactions is a challenging topic of condensed matter physics, where correlations are crucial and exotic phases develop. In one spatial dimension, a particularly successful method to analyze such problems is…

Strongly Correlated Electrons · Physics 2019-12-10 V. L. Quito , Pedro L. S. Lopes , José A. Hoyos , E. Miranda

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

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the…

Superconductivity · Physics 2007-10-30 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

The quantum field theory describing electric and magnetic charges and revealing a dual symmetry was developed in the Zwanziger formalism. The renormalization group (RG) equations for both fine structure constants - electric $\alpha$ and…

High Energy Physics - Theory · Physics 2009-10-31 L. V. Laperashvili , H. B. Nielsen

We generalize the application of the functional renormalization group (fRG) method for the fermionic flow into the symmetry-broken phase to finite temperatures. We apply the scheme to the case of a broken discrete symmetry: the…

Strongly Correlated Electrons · Physics 2009-09-29 Roland Gersch , Carsten Honerkamp , Daniel Rohe , Walter Metzner

Regularity of the deformation of the Fermi surface under short-range interactions is established to all orders in perturbation theory. The proofs are based on a new classification of all graphs that are not doubly overlapping. They turn out…

Strongly Correlated Electrons · Physics 2008-02-03 Joel Feldman , Manfred Salmhofer , Eugene Trubowitz

We study an interacting two-flavor fermionic system via field-theoretical functional renormalization group (RG). Each flavor, labeled by $\pm$, has a dispersion of $E^{\pm}=c k^{2\alpha}-\mu^\pm$ with tunable real exponent $\alpha>0$. The…

Strongly Correlated Electrons · Physics 2025-06-03 Han Ma

Starting from a well defined local Lagrangian, we analyze the renormalization group equations in terms of the two different arbitrary scales associated with the regularization procedure and with the physical renormalization of the bare…

High Energy Physics - Theory · Physics 2018-10-12 Jean-François Mathiot

We compute the renormalization functions on the lattice, in the RI' scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma= 1, \gamma_5, \gamma_\mu, \gamma_5\gamma_\mu, \gamma_5\sigma_{\mu\nu}$. This calculation is…

High Energy Physics - Lattice · Physics 2010-02-19 A. Skouroupathis , H. Panagopoulos

In renormalization group (RG) flow, the low energy states form a code subspace that is approximately protected against the local short-distance errors. We motivate this connection with an example of spin-blocking RG in classical spin…

High Energy Physics - Theory · Physics 2022-11-16 Keiichiro Furuya , Nima Lashkari , Mudassir Moosa

We consider the effect of rescattering of pairs of quasiparticles in the Cooper channel resulting in the strong renormalization of second-order corrections to the spin susceptibility in a two-dimensional electron system. We use the Fourier…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Stefano Chesi , Robert Andrzej Żak , Pascal Simon , Daniel Loss

We report a way of wave function estimation for the density matrix renormalization group (DMRG) method applied to quantum systems, which has 2-site modulation, when the system size extension is necessary in both the finite and the infinite…

Quantum Physics · Physics 2011-02-11 Hiroshi Ueda , Tomotoshi Nishino , Koichi Kusakabe

Demanding a consistent quantum field theory description of spin 1/2 particles near a circular Fermi surface in 2d leads to a unique fermionic theory with relevant quartic interactions which has an emergent Lorentz symmetry and automatically…

Strongly Correlated Electrons · Physics 2009-09-29 Eliot Kapit , André LeClair

We study elastic systems such as interfaces or lattices, pinned by quenched disorder. To escape triviality as a result of ``dimensional reduction'', we use the functional renormalization group. Difficulties arise in the calculation of the…

Condensed Matter · Physics 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese , Pascal Chauve

We reveal the critical properties of the phase transition towards superfluid order that has been proposed to occur in large spin fermionic systems. For this purpose, we consider the bosonic field theory for fluctuations of the complex…

Statistical Mechanics · Physics 2023-05-03 Michal Hnatič , Georgii Kalagov

Theoretical model for magnetic ordering in the heavy-fermion metal URu2Si2 is suggested. The 17.5K transition in this material is ascribed to formation of a spin-density wave, which develops due to a partial nesting between electron and…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Mineev , M. E. Zhitomirsky

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

Condensed Matter · Physics 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

We study two-dimensional spherical defects in d-dimensional Conformal Field Theories. We argue that the Renormalization Group (RG) flows on such defects admit the existence of a decreasing entropy function. At the fixed points of the flow,…

High Energy Physics - Theory · Physics 2023-12-13 Tom Shachar , Ritam Sinha , Michael Smolkin

We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping…

High Energy Physics - Phenomenology · Physics 2016-12-21 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner