Renormalization group and nonequilibrium action in stochastic field theory

Zanella, Juan; Calzetta, Esteban

doi:10.1103/physreve.66.036134

Cited by 24 publications

(45 citation statements)

References 73 publications

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“…involving the block-diagonal kernel in (16), of the free action with m 2 being the running mass and a real, even polynomial potential starting beyond the quadratic order. The nonlocal part of the action can be organized within the cluster expansion.…”

Section: Blockingmentioning

confidence: 99%

Quantum renormalization group

2016

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The observed IR and the spectator UV particles of a regulated, cutoff quantum field theory are entangled by their interactions; hence, the IR sector can be described by the help of the density matrix only. The tree-level renormalized trajectory is obtained for a self-interacting scalar field theory, containing the mixed state contributions. One needs a sharp cutoff in the momentum space as regulator to realize the true loss of information, caused by massive particles.

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Section: Blockingmentioning

confidence: 99%

Quantum renormalization group

2016

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“…5 There are many other places where annealed averages are studied, e.g. spin glasses in condensed matter physics [3,4,27,28]; quantum brownian motion [20,29,30], also see [31]; and non-equilibrium QFT [20,[32][33][34]. instance, are given by…”

Section: Introductionmentioning

confidence: 99%

Generating functionals for quantum field theories with random potentials

Jain

Vanchurin

2016

J. High Energ. Phys.

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We consider generating functionals for computing correlators in quantum field theories with random potentials. Examples of such theories include cosmological systems in context of the string theory landscape (e.g. cosmic inflation) or condensed matter systems with quenched disorder (e.g. spin glass). We use the so-called replica trick to define two different generating functionals for calculating correlators of the quantum fields averaged over a given distribution of random potentials. The first generating functional is appropriate for calculating averaged (in-out) amplitudes and involves a single replica of fields, but the replica limit is taken to an (unphysical) negative one number of fields outside of the path integral. When the number of replicas is doubled the generating functional can also be used for calculating averaged probabilities (squared amplitudes) using the in-in construction. The second generating functional involves an infinite number of replicas, but can be used for calculating both in-out and in-in correlators and the replica limits are taken to only a zero number of fields. We discuss the formalism in details for a single real scalar field, but the generalization to more fields or to different types of fields is straightforward. We work out three examples: one where the mass of scalar field is treated as a random variable and two where the functional form of interactions is random, one described by a Gaussian random field and the other by a Euclidean action in the field configuration space.

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“…In last analysis, we believe the final proof of the usefulness of the language we are proposing will be given by its application to the electromagnetic case and the important problem of depolarization. Another feature of the field theory language which may prove decisive is its flexibility towards the application of even more powerful nonperturbative techniques, among which renormalization group improvement of the self energy and intensity operators feature prominently [81]. We hope to report shortly on progress in these directions.…”

Section: Discussionmentioning

confidence: 99%

Wave propagation in non-Gaussian random media

Franco¹,

Calzetta²

2015

J. Phys. A: Math. Theor.

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We develop a compact perturbative series for accoustic wave propagation in a medium with a non Gaussian stochastic speed of sound. We use Martin -Siggia and Rose auxiliary field techniques to render the classical wave propagation problem into a "quantum" field theory one, and then frame this problem within so-called Schwinger -Keldysh of closed time-path (CTP) formalism. Variation of the so-called two-particle irreducible (2PI) effective action (EA), whose arguments are both the mean fields and the irreducible two point correlations, yields the Schwinger-Dyson and the Bethe-Salpeter equations. We work out the loop expansion of the 2PI CTP EA and show that, in the paradigmatic problem of overlapping spherical intrusions in an otherwise homogeneous medium, non Gaussian corrections may be much larger than Gaussian ones at the same order of loops

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Renormalization group and nonequilibrium action in stochastic field theory

Cited by 24 publications

References 73 publications

Quantum renormalization group

Quantum renormalization group

Generating functionals for quantum field theories with random potentials

Wave propagation in non-Gaussian random media

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