Method of the Functional Renormalization Group in General Gauge Theories
Sign Up to like & getrecommendations! Published in 2017 at "Russian Physics Journal"
DOI: 10.1007/s11182-017-1120-9
Abstract: The problem of the gauge dependence of the effective field is considered within the framework of the method of the functional renormalization group for general gauge theories. read more here.
Keywords: group general; renormalization group; gauge; general gauge ... See more keywords
Functional-renormalization-group approach to circuit quantum electrodynamics
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DOI: 10.1103/physreva.107.043709
Abstract: A nonperturbative approach is developed to analyze superconducting circuits coupled to quantized electromagnetic continuum within the framework of the functional renormalization group. The formalism allows us to determine complete physical pictures of equilibrium properties in… read more here.
Keywords: renormalization group; functional renormalization; circuit quantum; electrodynamics ... See more keywords
Keldysh functional renormalization group for electronic properties of graphene
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DOI: 10.1103/physrevb.95.125412
Abstract: We construct a nonperturbative nonequilibrium theory for graphene electrons interacting via the instantaneous Coulomb interaction by combining the functional renormalization group method with the nonequilibrium Keldysh formalism. The Coulomb interaction is partially bosonized in the… read more here.
Keywords: keldysh functional; renormalization group; group electronic; functional renormalization ... See more keywords
Numerical treatment of spin systems with unrestricted spin length S : A functional renormalization group study
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.045144
Abstract: We develop a generalized pseudo-fermion functional renormalization group (PFFRG) approach that can be applied to arbitrary Heisenberg models with spins ranging from the quantum case $S=1/2$ to the classical limit $S\rightarrow\infty$. Within this framework, spins… read more here.
Keywords: treatment; renormalization group; spin; functional renormalization ... See more keywords
Second-order functional renormalization group approach to one-dimensional systems in real and momentum space
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DOI: 10.1103/physrevb.96.235122
Abstract: We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in the interaction strength. We treat both inhomogeneous systems in real-space as well as… read more here.
Keywords: renormalization group; space; second order; systems real ... See more keywords
Functional renormalization group treatment of the 0.7 analog in quantum point contacts
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DOI: 10.1103/physrevb.98.115112
Abstract: We use a recently developed fRG method (extendend Coupled-Ladder Approximation) to study the 0.7 analog in quantum point contacts, arising at the crossing of the first and second band at sufficiently high magnetic fields. We… read more here.
Keywords: quantum point; analog quantum; analog; point contacts ... See more keywords
Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group
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DOI: 10.1103/physrevd.105.016028
Abstract: We investigate the massive Schwinger model in d = 1 + 1 dimensions using bosonization and the non-perturbative functional renormalization group. In agreement with previous studies we find that the phase transition, driven by a… read more here.
Keywords: functional renormalization; renormalization; massive schwinger; renormalization group ... See more keywords
BRST, Ward identities, gauge dependence, and a functional renormalization group
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review D"
DOI: 10.1103/physrevd.105.085014
Abstract: Basic properties of gauge theories in the framework of Faddeev-Popov (FP) method, Batalin-Vilkovisky (BV) formalism, functional renormalization group (FRG) approach are considered. The FP and BV quantizations are characterized by the Becchi-Rouet-Stora-Tyutin (BRST) symmetry while… read more here.
Keywords: functional renormalization; renormalization group; gauge dependence;
Bound state properties from the functional renormalization group
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DOI: 10.1103/physrevd.99.054029
Abstract: We discuss an approach for accessing bound state properties, like mass and decay width, of a theory within the functional renormalisation group approach. An important cornerstone is the dynamical hadronization technique for resonant interaction channels.… read more here.
Keywords: functional renormalization; bound state; properties functional; state properties ... See more keywords
Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: Irrelevance of amplitude and out-of-plane fluctuations.
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DOI: 10.1103/physreve.96.042107
Abstract: We develop a functional renormalization group (FRG) approach for the two-dimensional XY model by combining the lattice FRG proposed by Machado and Dupuis [Phys. Rev. E 82, 041128 (2010)PLEEE81539-375510.1103/PhysRevE.82.041128] with a duality transformation that explicitly… read more here.
Keywords: renormalization group; kosterlitz thouless; functional renormalization;
Deep Learning the Functional Renormalization Group.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.136402
Abstract: We perform a data-driven dimensionality reduction of the scale-dependent four-point vertex function characterizing the functional renormalization group (FRG) flow for the widely studied two-dimensional t-t^{'} Hubbard model on the square lattice. We demonstrate that a… read more here.
Keywords: renormalization group; learning functional; deep learning; functional renormalization ... See more keywords