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Functional renormalization group for non-Hermitian and $\mathcal{PT}$-symmetric systems

open access: yesSciPost Physics, 2022
We generalize the vertex expansion approach of the functional renormalization group to non-Hermitian systems. As certain anomalous expectation values might not vanish, additional terms as compared to the Hermitian case can appear in the flow equations.
Lukas Grunwald, Volker Meden, Dante M. Kennes
doaj   +1 more source

Functional renormalization group for stochastic inflation [PDF]

open access: yesJournal of Cosmology and Astroparticle Physics, 2018
We apply the functional renormalization group to Starobinsky's stochastic equation describing the local dynamics of a light scalar field in de Sitter. After elaborating on the over-damped regime of stochastic dynamics, we introduce an effective average action for the stochastic field, resulting by progressively integrating out frequencies, and study ...
Prokopec T, Rigopoulos G
openaire   +5 more sources

The conformal sector of Quantum Einstein Gravity beyond the local potential approximation

open access: yesPhysics Letters B, 2023
The anomalous scaling of Newton's constant around the Reuter fixed point is dynamically computed using the functional flow equation approach. Specifically, we thoroughly analyze the flow of the most general conformally reduced Einstein-Hilbert action ...
Alfio Bonanno   +2 more
doaj   +1 more source

Cosmological α′-corrections from the functional renormalization group

open access: yesJournal of High Energy Physics, 2021
We employ the techniques of the Functional Renormalization Group in string theory, in order to derive an effective mini-superspace action for cosmological backgrounds to all orders in the string scale α′.
Ivano Basile, Alessia Platania
doaj   +1 more source

WAVE FUNCTIONALS, HAMILTONIANS AND THE RENORMALIZATION GROUP [PDF]

open access: yesInternational Journal of Modern Physics A, 1996
We analyze the renormalization of wave functionals and energy eigenvalues in field theory. A general discussion of the canonical structure of the renormalization group equation is also given.
V. P. Nair, D.Minic
openaire   +4 more sources

Superfluidity in multicomponent fermions via the functional renormalization group

open access: yesNuclear Physics B, 2023
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 skew-symmetric rank-
Michal Hnatič, Georgii Kalagov
doaj   +1 more source

Flowing bosonization in the nonperturbative functional renormalization-group approach

open access: yesSciPost Physics, 2022
Bosonization allows one to describe the low-energy physics of one-dimensional quantum fluids within a bosonic effective field theory formulated in terms of two fields: the "density" field $\varphi$ and its conjugate partner, the phase $\vartheta$ of ...
Romain Daviet, Nicolas Dupuis
doaj   +1 more source

On ambiguities and divergences in perturbative renormalization group functions [PDF]

open access: yesJournal of High Energy Physics, 2021
Abstract There is an ambiguity in choosing field-strength renormalization factors in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme starting from the 3-loop order in perturbation theory. More concerning, trivially choosing Hermitian factors
Florian Herren, Anders Eller Thomsen
openaire   +6 more sources

Fermionic spectral functions with the functional renormalization group [PDF]

open access: yesPhysical Review D, 2018
We present first results on the calculation of fermionic spectral functions from analytically continued flow equations within the functional renormalization group approach. Our method is based on the same analytic continuation from imaginary to real frequencies that was developed and used previously for bosonic spectral functions.
Ralf-Arno Tripolt   +4 more
openaire   +4 more sources

Renormalization Group Transformation for the Wave Function [PDF]

open access: yesAnnals of Physics, 1998
The problem considered here is the determination of the hamiltonian of a first quantized nonrelativistic particle by the help of some measurements of the location with a finite resolution. The resulting hamiltonian depends on the resolution of the measuring device.
Hanae El Hattab   +2 more
openaire   +5 more sources

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