OSCILLONS IN SCALAR FIELD THEORIES: APPLICATIONS IN HIGHER DIMENSIONS AND INFLATION [PDF]
International Journal of Modern Physics D, 2007 The basic properties of oscillons — localized, long-lived, time-dependent scalar field configurations — are briefly reviewed, including recent results demonstrating how their existence depends on the dimensionality of space–time. Their role on the dynamics of phase transitions is discussed, and it is shown that oscillons may greatly accelerate the ...
Marcelo Gleiser
core +7 more sources
Liouville conformal field theories in higher dimensions [PDF]
Journal of High Energy Physics, 2018 We consider a generalization of the two-dimensional Liouville conformal field theory to any number of even dimensions. The theories consist of a log-correlated scalar field with a background Q $$ \mathcal{Q} $$-curvature charge and an exponential ...
Tom Levy, Yaron Oz
doaj +6 more sources
Anomalous dimensions of partially conserved higher-spin currents from conformal field theory: Bosonic
Physical Review D, 2023 In the free □k scalar conformal field theory, there exist conserved and partially conserved higher-spin currents. We study their anomalous dimensions associated with ϕ2n interaction in the ε expansion. We derive general formulas for the leading corrections from the conformal multiplet recombination, and verify their consistency with crossing symmetry ...
Yongwei Guo, Wenliang Li
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Bosonization in Higher Dimensions via Noncommutative Field Theory [PDF]
Physical Review Letters, 2006 We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and reproduces the correct perturbative Hilbert space and excitation energies for the fermions.
Alexios P. Polychronakos
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Symmetry resolved entanglement of excited states in quantum field theory. Part II. Numerics, interacting theories and higher dimensions [PDF]
Journal of High Energy Physics, 2022 Abstract In a recent paper we studied the entanglement content of zero-density excited states in complex free quantum field theories, focusing on the symmetry resolved entanglement entropy (SREE). By zero-density states we mean states consisting of a fixed, finite number of excitations above the ground state in an infinite-volume ...
Luca Capizzi +4 more
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Quantum revivals in conformal field theories in higher dimensions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 19 pages, 14 figures.
John Cardy
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Constraining conformal field theories with a higher spin symmetry in d > 3 dimensions [PDF]
Journal of High Energy Physics, 2016 We study unitary conformal field theories with a unique stress tensor and at least one higher-spin conserved current in d>3 dimensions. We prove that every such theory contains an infinite number of higher-spin conserved currents of arbitrarily high spin, and that Ward identities generated by the conserved charges of these currents imply that the ...
Alba, Vasyl, Diab, Kenan
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Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory [PDF]
Communications in Mathematical Physics, 2004 We propose an extension of the definition of vertex algebras in arbitrary space-time dimensions together with their basic structure theory. An one-to-one correspondence between these vertex algebras and axiomatic quantum field theory (QFT) with global conformal invariance (GCI) is constructed.
Nikolay Nikolov
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Constraining conformal field theory with higher spin symmetry in four dimensions [PDF]
Nuclear Physics B, 2013 We analyze the constraints on the general form and the singularity structure of the correlation functions of the symmetric, traceless and conserved stress-energy tensor implied by conformal invariance and higher spin symmetry in four dimensions. In particular, we show that all these correlation functions will have at most double pole singularities.
Yassen S. Stanev
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Quantum field theory from a quantum cellular automaton in one spatial dimension and a no-go theorem in higher dimensions [PDF]
Physical Review A, 2020 It has been shown that certain quantum walks give rise to relativistic wave equations, such as the Dirac and Weyl equations, in their long-wavelength limits. This intriguing result raises the question of whether something similar can happen in the multi-particle case.
Leonard Mlodinow, Todd A. Brun
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