Functional renormalization group for non-Hermitian and $\mathcal{PT}$-symmetric systems
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
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Functional renormalization group for stochastic inflation [PDF]
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
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The conformal sector of Quantum Einstein Gravity beyond the local potential approximation
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
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Cosmological α′-corrections from the functional renormalization group
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
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WAVE FUNCTIONALS, HAMILTONIANS AND THE RENORMALIZATION GROUP [PDF]
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
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Superfluidity in multicomponent fermions via the functional renormalization group
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
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Flowing bosonization in the nonperturbative functional renormalization-group approach
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
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On ambiguities and divergences in perturbative renormalization group functions [PDF]
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
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Fermionic spectral functions with the functional renormalization group [PDF]
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
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Renormalization Group Transformation for the Wave Function [PDF]
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
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