Results 11 to 20 of about 529 (80)
Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes
Communications on Pure and Applied Mathematics, Volume 76, Issue 8, Page 1608-1656, August 2023., 2023 Abstract This is the second part of a two‐paper series that establishes the uniqueness and regularity of a threshold energy wave map that does not scatter in both time directions. Consider the S2‐valued equivariant energy critical wave maps equation on ℝ1+2, with equivariance class k≥4.
Jacek Jendrej, Andrew Lawrie
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Area Law Saturation of Entropy Bound from Perturbative Unitarity in Renormalizable Theories
Fortschritte der Physik, Volume 69, Issue 1, January 2021., 2021 Abstract We study the quantum information storage capacity of solitons and baryons in renormalizable quantum field theories that do not include gravity. We observe that a 't Hooft‐Polyakov magnetic monopole saturates the Bekenstein bound on information when the theory saturates the bound on perturbative unitarity.
Gia Dvali
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Unitarity Entropy Bound: Solitons and Instantons
Fortschritte der Physik, Volume 69, Issue 1, January 2021., 2021 Abstract We show that non‐perturbative entities such as solitons and instantons saturate bounds on entropy when the theory saturates unitarity. Simultaneously, the entropy becomes equal to the area of the soliton/instanton. This is strikingly similar to black hole entropy despite absence of gravity. We explain why this similarity is not an accident. We
Gia Dvali
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Functional methods for false-vacuum decay in real time
Journal of High Energy Physics, 2019 We present the calculation of the Feynman path integral in real time for tunneling in quantum mechanics and field theory, including the first quantum corrections.
Wen-Yuan Ai +2 more
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Journal of High Energy Physics, 2018 We derive a one-parameter family of gauged Skyrme models from Yang-Mills theory on S 1 × ℝ3, in which skyrmions are well-approximated by calorons and monopoles.
Josh Cork
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Decay of I-ball/oscillon in classical field theory
Journal of High Energy Physics, 2019 I-balls/oscillons are long-lived and spatially localized solutions of real scalar fields. They are produced in various contexts of the early universe in, such as, the inflaton evolution and the axion evolution.
Masahiro Ibe +3 more
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Heun Functions and Some of Their Applications in Physics
Advances in High Energy Physics, Volume 2018, Issue 1, 2018., 2018 Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the confluent hypergeometric equations often suffice to describe the system studied.
M. Hortaçsu, Saber Zarrinkamar
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Supersymmetric Quantum Mechanics and Topology
Advances in High Energy Physics, Volume 2016, Issue 1, 2016., 2016 Supersymmetric quantum mechanical models are computed by the path integral approach. In the β → 0 limit, the integrals localize to the zero modes. This allows us to perform the index computations exactly because of supersymmetric localization, and we will show how the geometry of target space enters the physics of sigma models resulting in the ...
Muhammad Abdul Wasay, Elias C. Vagenas
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O(N) invariance of the multi-field bounce
Journal of High Energy Physics, 2017 In his 1977 paper on vacuum decay in field theory: The Fate of the False Vacuum, Coleman considered the problem of a single scalar field and assumed that the minimum action tunnelling field configuration, the bounce, is invariant under O(4) rotations in ...
Kfir Blum +4 more
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On Lax pairs and matrix extended simple Toda systems
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 17, Page 2735-2747, 2005., 2005 A A1 Toda system is extended via Lax pair formulations in order to probe noncommutative variables extensions. Systems, some solvable, are built using matrix generalizations.
M. Legaré
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