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Title: Exact renormalization group and higher-spin holography

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Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 1550-7998
American Physical Society
Country of Publication:
United States

Citation Formats

Leigh, Robert G., Parrikar, Onkar, and Weiss, Alexander B.. Exact renormalization group and higher-spin holography. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.026002.
Leigh, Robert G., Parrikar, Onkar, & Weiss, Alexander B.. Exact renormalization group and higher-spin holography. United States. doi:10.1103/PhysRevD.91.026002.
Leigh, Robert G., Parrikar, Onkar, and Weiss, Alexander B.. 2015. "Exact renormalization group and higher-spin holography". United States. doi:10.1103/PhysRevD.91.026002.
title = {Exact renormalization group and higher-spin holography},
author = {Leigh, Robert G. and Parrikar, Onkar and Weiss, Alexander B.},
abstractNote = {},
doi = {10.1103/PhysRevD.91.026002},
journal = {Physical Review D},
number = 2,
volume = 91,
place = {United States},
year = 2015,
month = 1

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.91.026002

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Cited by: 19works
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Web of Science

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  • The contractor renormalization group method, a new approach to solving Hamiltonian lattice systems, is presented. The method defines a systematic and nonperturbative means of implementing Kadanoff-Wilson real-space renormalization group transformations using cluster expansion and contraction techniques. We illustrate the approach and demonstrate its effectiveness using scalar field theory, the Heisenberg antiferromagnetic chain, and the anisotropic Ising chain. Future applications to the Hubbard and {ital t}-{ital J} models and lattice gauge theory are discussed. {copyright} {ital 1996 The American Physical Society.}
  • We use the exact-diagonalization results for a one-dimensional finite-size boson Hubbard-like Hamiltonians to initialize the renormalization-group equations in the vicinity of the superfluid-insulator transition and demonstrate that this provides a rather accurate method of extrapolation of the finite-size results to larger system sizes, and in particular, pinpointing the critical parameters of the Hamiltonians. With our approach we reproduce with the accuracy {approximately}2.5{percent} the known analytical result for the transition point in the half-filled system of hard-core bosons, obtain with a controllable accuracy the critical ratio ({ital t}/{ital U}){sub {ital c}}=0.304{plus_minus}0.002 for the boson Hubbard model, and find out that, inmore » contrast to the general belief, the reduced Hamiltonian (with the constraint that the site occupation numbers be less than 3) is far from being a good approximation to the full model. {copyright} {ital 1996 The American Physical Society.}« less
  • We consider a scalar field theory in Minkowski spacetime and define a coarse-grained closed time path (CTP) effective action by integrating quantum fluctuations of wavelengths shorter than a critical value. We derive an exact CTP renormalization group equation for the dependence of the effective action on the coarse-graining scale. We solve this equation using a derivative expansion approach. Explicit calculation is performed for the {lambda}{phi}{sup 4} theory. We discuss the relevance of the CTP average action in the study of nonequilibrium aspects of phase transitions in quantum field theory. {copyright} {ital 1996 The American Physical Society.}
  • We clarify the notion of Wilsonian renormalization group (RG) invariance in supersymmetric gauge theories, which states that low-energy physics can be kept fixed when one changes the ultraviolet cutoff, provided appropriate changes are made to the bare coupling constants in the Lagrangian. We first pose a puzzle on how a quantum modified constraint [such as Pf(Q{sup i}Q{sup j})={Lambda}{sup 2(N+1)} in SP(N) theories with N+1 flavors] can be RG invariant, since the bare fields Q{sup i} receive wave function renormalization when one changes the ultraviolet cutoff, while we naively regard the scale {Lambda} as RG invariant. The resolution is that {Lambda}more » is {ital not} RG invariant {ital if} one sticks to canonical normalization for the bare fields as is conventionally done in field theory. We derive a formula for how {Lambda} must be changed when one changes the ultraviolet cutoff. We then compare our formula to known exact results and show that their consistency requires the change in {Lambda} we have found. Finally, we apply our result to models of supersymmetry breaking due to quantum modified constraints. The RG invariance helps us to determine the effective potential along the classical flat directions found in these theories. In particular, the inverted hierarchy mechanism does not occur in the original version of these models. {copyright} {ital 1998} {ital The American Physical Society}« less