Critical exponents of the O ( N ) model in the infrared limit from functional renormalization
We determined the critical exponent [nu] of the scalar O(N) model with a strategy based on the definition of the correlation length in the infrared limit. The functional renormalization group treatment of the model shows that there is an infrared fixed point in the broken phase. The appearing degene...
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Veröffentlicht in: | Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2012-10, Vol.86 (8), Article 085020 |
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creator | Nagy, S. |
description | We determined the critical exponent [nu] of the scalar O(N) model with a strategy based on the definition of the correlation length in the infrared limit. The functional renormalization group treatment of the model shows that there is an infrared fixed point in the broken phase. The appearing degeneracy induces a dynamical length scale there, which can be considered as the correlation length. It is shown that the IR scaling behavior can account either for the Ising type phase transition in the three-dimensional O(N) model, or for the Kosterlitz-Thouless type scaling of the two-dimensional O(2) model. |
doi_str_mv | 10.1103/PhysRevD.86.085020 |
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The functional renormalization group treatment of the model shows that there is an infrared fixed point in the broken phase. The appearing degeneracy induces a dynamical length scale there, which can be considered as the correlation length. It is shown that the IR scaling behavior can account either for the Ising type phase transition in the three-dimensional O(N) model, or for the Kosterlitz-Thouless type scaling of the two-dimensional O(2) model.</description><identifier>ISSN: 1550-7998</identifier><identifier>EISSN: 1550-2368</identifier><identifier>DOI: 10.1103/PhysRevD.86.085020</identifier><language>eng</language><subject>Correlation ; Cosmology ; Exponents ; Gravitation ; Infrared ; Scalars ; Strategy ; Three dimensional models</subject><ispartof>Physical review. 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D, Particles, fields, gravitation, and cosmology</title><description>We determined the critical exponent [nu] of the scalar O(N) model with a strategy based on the definition of the correlation length in the infrared limit. The functional renormalization group treatment of the model shows that there is an infrared fixed point in the broken phase. The appearing degeneracy induces a dynamical length scale there, which can be considered as the correlation length. It is shown that the IR scaling behavior can account either for the Ising type phase transition in the three-dimensional O(N) model, or for the Kosterlitz-Thouless type scaling of the two-dimensional O(2) model.</description><subject>Correlation</subject><subject>Cosmology</subject><subject>Exponents</subject><subject>Gravitation</subject><subject>Infrared</subject><subject>Scalars</subject><subject>Strategy</subject><subject>Three dimensional models</subject><issn>1550-7998</issn><issn>1550-2368</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNo1kEtPAjEUhRujiYj-AVdd4mLwtvNoZ2lQ1ISIMbo0TenchpqZFtvBiL9eEFydR07O4iPkksGYMcivn5eb9IJft2NZjUGWwOGIDFhZQsbzSh4fvKhreUrOUvoAyHklxIC8T6LrndEtxe9V8Oj7RIOl_RLpnI7oE72iXWiwpc7_lc7bqCM2tHWd66mNoaN27U3vgt-eRPQhdrp1P3rXnJMTq9uEFwcdkrfp3evkIZvN7x8nN7PMcAl9VptG6sYwUTQWuECzwFJUTSkBORRmm00h6gZlwReFxRILyA3yBXAudW7rfEhG-99VDJ9rTL3qXDLYttpjWCfFBDBgomTVdsr3UxNDShGtWkXX6bhRDNSOpfpnqWSl9izzXycNajQ</recordid><startdate>20121009</startdate><enddate>20121009</enddate><creator>Nagy, S.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20121009</creationdate><title>Critical exponents of the O ( N ) model in the infrared limit from functional renormalization</title><author>Nagy, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c280t-9cd8adc174df027ecbe576d580e204cecbc479de842b4fe5e403ce2b0228a3f93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Correlation</topic><topic>Cosmology</topic><topic>Exponents</topic><topic>Gravitation</topic><topic>Infrared</topic><topic>Scalars</topic><topic>Strategy</topic><topic>Three dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nagy, S.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. D, Particles, fields, gravitation, and cosmology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nagy, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Critical exponents of the O ( N ) model in the infrared limit from functional renormalization</atitle><jtitle>Physical review. D, Particles, fields, gravitation, and cosmology</jtitle><date>2012-10-09</date><risdate>2012</risdate><volume>86</volume><issue>8</issue><artnum>085020</artnum><issn>1550-7998</issn><eissn>1550-2368</eissn><abstract>We determined the critical exponent [nu] of the scalar O(N) model with a strategy based on the definition of the correlation length in the infrared limit. The functional renormalization group treatment of the model shows that there is an infrared fixed point in the broken phase. The appearing degeneracy induces a dynamical length scale there, which can be considered as the correlation length. It is shown that the IR scaling behavior can account either for the Ising type phase transition in the three-dimensional O(N) model, or for the Kosterlitz-Thouless type scaling of the two-dimensional O(2) model.</abstract><doi>10.1103/PhysRevD.86.085020</doi></addata></record> |
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language | eng |
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source | American Physical Society Journals |
subjects | Correlation Cosmology Exponents Gravitation Infrared Scalars Strategy Three dimensional models |
title | Critical exponents of the O ( N ) model in the infrared limit from functional renormalization |
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