Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model
In this work, we investigate the consequences of the Renormalization Group Equation (RGE) in the determination of the effective potential and the study of Dynamical Symmetry Breaking (DSB) in an Gross-Neveu (GN) model with N fermions fields in (1+1) dimensional space-time, which can be applied as a...
- Autores:
-
Quinto, A.G
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad del Atlántico
- Repositorio:
- Repositorio Uniatlantico
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniatlantico.edu.co:20.500.12834/757
- Acceso en línea:
- https://hdl.handle.net/20.500.12834/757
https://www.sciencedirect.com/science/article/pii/S0550321322003108
- Palabra clave:
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by/4.0/
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Document details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model |
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Quinto, A.G |
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Quinto, A.G |
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Vega Monroy, R. Ferrari, A.F. |
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In this work, we investigate the consequences of the Renormalization Group Equation (RGE) in the determination of the effective potential and the study of Dynamical Symmetry Breaking (DSB) in an Gross-Neveu (GN) model with N fermions fields in (1+1) dimensional space-time, which can be applied as a model to describe certain properties of the polyacetylene. The classical Lagrangian of the model is scale invariant, but radiative corrections to the effective potential can lead to dimensional transmutation, when a dimensionless parameter (coupling constant) of the classical Lagrangian is exchanged for a dimensionful one, a dynamically generated mass for the fermion fields. For the model we are considering, perturbative calculations of the effective potential and renormalization group functions up to three loops are available, but we use the RGE and the leading logs approximation to calculate an improved effective potential, including contributions up to six loops orders. We then perform a systematic study of the general aspects of DSB in the GN model with finite N, comparing the results we obtain with the ones derived from the original unimproved effective potential we started with. © 2022 The Author(s) |
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2021 |
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2021-09-20 |
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2022-11-12T16:27:00Z |
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2022-11-12T16:27:00Z |
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2022-09-09 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Artículo |
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Quinto, A. G., Vega Monroy, R., & Ferrari, A. F. (2022). Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model. Nuclear Physics B, 984, 115959. https://doi.org/https://doi.org/10.1016/j.nuclphysb.2022.115959 |
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https://hdl.handle.net/20.500.12834/757 |
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10.1016/j.nuclphysb.2022.115959 |
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Universidad del Atlántico |
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Repositorio Universidad del Atlántico |
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https://www.sciencedirect.com/science/article/pii/S0550321322003108 |
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Quinto, A. G., Vega Monroy, R., & Ferrari, A. F. (2022). Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model. Nuclear Physics B, 984, 115959. https://doi.org/https://doi.org/10.1016/j.nuclphysb.2022.115959 10.1016/j.nuclphysb.2022.115959 Universidad del Atlántico Repositorio Universidad del Atlántico |
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https://hdl.handle.net/20.500.12834/757 https://www.sciencedirect.com/science/article/pii/S0550321322003108 |
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eng |
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Atribución 4.0 Internacional |
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Quinto, A.G7d1cdae2-5578-4d7e-8ef5-53d246627bdaVega Monroy, R.Ferrari, A.F.2022-11-12T16:27:00Z2022-11-12T16:27:00Z2022-09-092021-09-20Quinto, A. G., Vega Monroy, R., & Ferrari, A. F. (2022). Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu model. Nuclear Physics B, 984, 115959. https://doi.org/https://doi.org/10.1016/j.nuclphysb.2022.115959https://hdl.handle.net/20.500.12834/75710.1016/j.nuclphysb.2022.115959Universidad del AtlánticoRepositorio Universidad del Atlánticohttps://www.sciencedirect.com/science/article/pii/S0550321322003108In this work, we investigate the consequences of the Renormalization Group Equation (RGE) in the determination of the effective potential and the study of Dynamical Symmetry Breaking (DSB) in an Gross-Neveu (GN) model with N fermions fields in (1+1) dimensional space-time, which can be applied as a model to describe certain properties of the polyacetylene. The classical Lagrangian of the model is scale invariant, but radiative corrections to the effective potential can lead to dimensional transmutation, when a dimensionless parameter (coupling constant) of the classical Lagrangian is exchanged for a dimensionful one, a dynamically generated mass for the fermion fields. For the model we are considering, perturbative calculations of the effective potential and renormalization group functions up to three loops are available, but we use the RGE and the leading logs approximation to calculate an improved effective potential, including contributions up to six loops orders. We then perform a systematic study of the general aspects of DSB in the GN model with finite N, comparing the results we obtain with the ones derived from the original unimproved effective potential we started with. © 2022 The Author(s)application/pdfenghttps://creativecommons.org/licenses/by/4.0/Atribución 4.0 Internacionalinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Nuclear Physics BDocument details - Renormalization group improvement of the effective potential in a (1 + 1) dimensional Gross-Neveu modelPúblico generalinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1BarranquillaSede NorteAlan Chodos, Hisakazu Minakata, The Gross-Neveu model as an effective theory for polyacetylene, Phys. Lett. A 191 (1994) 39D.K. Campbell, A.R. Bishop Soliton excitations in polyacetylene and relativistic field theory models Nucl. Phys. B, 200 (1982), pp. 297-328 ArticleDownload PDFView Record in ScopusGoogle ScholarColeman Sidney, Weinberg Erick Radiative corrections as the origin of spontaneous symmetry breaking Phys. Rev. D, 7 (Mar 1973), pp. 1888-1910M.R. Ahmady, V. Elias, D.G.C. McKeon, A. Squires, T.G. Steele Renormalization-group improvement of effective actions beyond summation of leading logarithms Nucl. Phys. B, 655 (3) (2003), pp. 221-249V. Elias, R.B. Mann, D.G.C. McKeon, T.G. Steele Higher order stability of a radiatively induced 220 gev Higgs mass Phys. Rev. D, 72 (3) (Aug 2005), Article 037902Huan Souza, L. Ibiapina Bevilaqua, A.C. Lehum Renormalization group improvement of the effective potential in six dimensions Phys. Rev. D, 102 (4) (2020), Article 045004A.G. Quinto, A.F. Ferrari, A.C. Lehum Renormalization group improvement and dynamical breaking of symmetry in a supersymmetric Chern-Simons-matter model Nucl. Phys. B, 907 (2016), pp. 664-677A.G. Dias, J.D. Gomez, A.A. Natale, A.G. Quinto, A.F. Ferrari Non-perturbative fixed points and renormalization group improved effective potential Phys. Lett. B, 739 (2014), pp. 8-12F.A. Chishtie, V. Elias, R.B. Mann, D.G.C. Mckeon, T.G. Steele On the standard approach to renormalization group improvement Int. J. Mod. Phys. E, 16 (06) (2007), pp. 1681-1685V. Elias, R.B. Mann, D.G.C. McKeon, T.G. Steele Radiative electroweak symmetry breaking revisited Phys. Rev. Lett., 91 (Dec 2003), Article 251601F.A. Chishtie, V. Elias, R.B. Mann, D.G.C. McKeon, T.G. Steele Stability of subsequent-to-leading-logarithm corrections to the effective potential for radiative electroweak symmetry breaking Nucl. Phys. B, 743 (1–2) (2006), pp. 104-132F.A. Chishtie, T. Hanif, J. Jia, R.B. Mann, D.G.C. McKeon, T.N. Sherry, T.G. Steele Can the renormalization group improved effective potential be used to estimate the Higgs mass in the conformal limit of the standard model? Phys. Rev. D, 83 (May 2011), Article 105009T.G. Steele, Zhi-Wei Wang Is radiative electroweak symmetry breaking consistent with a 125 gev Higgs mass? Phys. Rev. Lett., 110 (Apr 2013), Article 151601A.G. Quinto, R. Vega Monroy, A.F. Ferrari, A.C. Lehum Effective Potential and Dynamical Symmetry Breaking up to Five Loops in a Massless Abelian Higgs Model (November 2021)C.K. Chiang, C.R. Fincher, Y.W. Park, A.J. Heeger, H. Shirakawa, E.J. Louis, S.C. Gau, Alan G. MacDiarmid Electrical conductivity in doped polyacetylene Phys. Rev. Lett., 39 (Oct 1977), pp. 1098-1101Hajime Takayama, Y.R. Lin-Liu, Kazumi Maki Continuum model for solitons in polyacetylene Phys. Rev. B, 21 (Mar 1980), pp. 2388-2393B. Horovitz Infrared activity of Peierls systems and application to polyacetylene Solid State Commun., 88 (1993), pp. 983-988W.P. Su, J.R. Schrieffer, A.J. Heeger Solitons in polyacetylene Phys. Rev. Lett., 42 (Jun 1979), pp. 1698-1701Cristina Luperini, Paolo Rossi Three loop beta function(s) and effective potential in the Gross-Neveu model Ann. Phys., 212 (1991), pp. 371-401Jean-Paul Blaizot, Ramon Mendez-Galain, Nicolas Wschebor The Gross-Neveu model at finite temperature at next to leading order in the 1 / n expansion Ann. Phys., 307 (2003), pp. 209-271U. Wolff The phase diagram of the infinite N Gross-Neveu model at finite temperature and chemical potential Phys. Lett. B, 157 (1985), pp. 303-308Laurin Pannullo, Julian Lenz, Marc Wagner, Björn Wellegehausen, Andreas Wipf Inhomogeneous phases in the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors Acta Phys. Pol. Suppl., 13 (2020), p. 127Laurin Pannullo, Julian Lenz, Marc Wagner, Björn Wellegehausen, Andreas Wipf Lattice investigation of the phase diagram of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors PoS, LATTICE2019 (2019), Article 063Julian Lenz, Laurin Pannullo, Marc Wagner, Björn Wellegehausen, Andreas Wipf Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors Phys. Rev. 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High Energy Phys., 03 (2018), Article 014http://purl.org/coar/resource_type/c_6501ORIGINAL1-s2.0-S0550321322003108-main.pdf1-s2.0-S0550321322003108-main.pdfapplication/pdf895143https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/757/1/1-s2.0-S0550321322003108-main.pdf34d1b780247e24b3627fe06cfcdad1e1MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81031https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/757/2/license_rdf934f4ca17e109e0a05eaeaba504d7ce4MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/757/3/license.txt67e239713705720ef0b79c50b2ececcaMD5320.500.12834/757oai:repositorio.uniatlantico.edu.co:20.500.12834/7572022-11-12 11:37:03.866DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.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 |