On the renormalization of theories of a scalar chiral superfield

Rosten, Oliver J.

doi:10.1007/jhep03(2010)004

Cited by 25 publications

(30 citation statements)

References 75 publications

(158 reference statements)

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“…For QCD related reviews and corresponding low-energy models, we refer the reader to Refs. [5][6][7][8][9][10][11][12][13][14]. A consistent description of the dynamical transition from quark-gluon degrees of freedom to hadronic degrees of freedom is achieved by the dynamical hadronisation technique.…”

Section: Quantum Fluctuationsmentioning

confidence: 99%

“…We use the functional renormalisation group (FRG) approach for QCD, for reviews see [5][6][7][8][9][10][11][12][13][14], and [15][16][17][18][19][20][21] for reviews on related work. In order to describe the transition from quarks and gluons to hadrons, we extend the dynamical hadronisation technique (or rebosonisation), introduced in Refs.…”

Section: Introductionmentioning

confidence: 99%

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From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD

et al. 2016

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We present an analysis of the dynamics of two-flavour QCD in the vacuum. Special attention is paid to the transition from the high energy quark-gluon regime to the low energy regime governed by hadron dynamics. This is done within an functional renormalisation group approach to QCD amended by dynamical hadronisation techniques. The latter allow us to describe conveniently the transition from the perturbative high-energy regime to the nonperturbative low-energy limit without suffering from a fine-tuning of model parameters. In the present work, we apply these techniques to two-flavour QCD with physical quark masses and show how the dynamics of the dominant low-energy degrees of freedom emerge from the underlying quark-gluon dynamics.

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Section: Quantum Fluctuationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD

et al. 2016

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“…This can be adjusted to manifestly preserve supersymmetry, by taking advantage of the linearization of supersymmetry transformations in the offshell formulation, involving auxiliary fields f , or in other words by formulating the Wilsonian cutoff in superspace, as detailed in Refs. [64,72,73]. In the present work we apply this framework to the N = 2 three-dimensional WZ model, using the fields and Lagrangians described in the previous section.…”

Section: The Functional Renormalization Groupmentioning

confidence: 99%

Critical Wess-Zumino models with four supercharges in the functional renormalization group approach

2018

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We analyze the N = 1 supersymmetric Wess-Zumino model dimensionally reduced to the N = 2 supersymmetric model in three Euclidean dimensions. As in the original model in four dimensions and the N = (2, 2) model in two dimensions the superpotential is not renormalized. This property puts severe constraints on the non-trivial fixed-point solutions, which are studied in detail. We admit a field-dependent wave function renormalization that in a geometric language relates to a Kähler metric. The Kähler metric is not protected by supersymmetry and we calculate its explicit form at the fixed point. In addition we determine the exact quantum dimension of the chiral superfield and several critical exponents of interest, including the correction-to-scaling exponent ω, within the functional renormalization group approach. We compare the results obtained at different levels of truncation, exploring also a momentum-dependent wave function renormalization. Finally we briefly describe a tower of multicritical models in continuous dimensions.

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“…This work does not aim at a fully detailed introduction to the FRG. This has been done in various topical and general reviews and lecture notes, and we refer the interested reader to introductory and advanced general reviews [82][83][84][85][86][87][88][89][90], and to more topical reviews on nuclear and atomic physics [7,[34][35][36][37][91][92][93], non-equilibrium RG [94][95][96], on gauge theories, QCD and QCD effective models, [97][98][99], and quantum gravity [100-102].…”

Section: Strong Correlations and The Functional Renormalization Groupmentioning

confidence: 99%

Ultracold atoms and the Functional Renormalization Group

Boettcher

Pawlowski

Diehl

2012

Nuclear Physics B - Proceedings Supplements

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We give a self-contained introduction to the physics of ultracold atoms using functional integral techniques. Based on a consideration of the relevant length scales, we derive the universal effective low energy Hamiltonian describing ultracold alkali atoms. We then introduce the concept of the effective action, which generalizes the classical action principle to full quantum status and provides an intuitive and versatile tool for practical calculations. This framework is applied to weakly interacting degenerate bosons and fermions in the spatial continuum. In particular, we discuss the related BEC and BCS quantum condensation mechanisms. We then turn to the BCS-BEC crossover, which interpolates between both phenomena, and which is realized experimentally in the vicinity of a Feshbach resonance. For its description, we introduce the Functional Renormalization Group approach. After a general discussion of the method in the cold atoms context, we present a detailed and pedagogical application to the crossover problem. This not only provides the physical mechanism underlying this phenomenon. More generally, it also reveals how the renormalization group can be used as a tool to capture physics at all scales, from few-body scattering on microscopic scales, through the finite temperature phase diagram governed by many-body length scales, up to critical phenomena dictating long distance physics at the phase transition. The presentation aims to equip students at the beginning PhD level with knowledge on key physical phenomena and flexible tools for their description, and should enable to embark upon practical calculations in this field.Comment: 73 pages, 32 figures. Lecture notes for the 49th Schladming Winter School `Physics at all scales: The Renormalization Group' (to appear in the proceedings

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On the renormalization of theories of a scalar chiral superfield

Cited by 25 publications

References 75 publications

From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD

From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD

Critical Wess-Zumino models with four supercharges in the functional renormalization group approach

Ultracold atoms and the Functional Renormalization Group

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