Phase Transitions in Abelian Lattice Gauge Theory: Production and Dissolution of Monopoles and Monopole-Antimonopole Pairs
We combine the microcanonical formulation of lattice gauge theories (LGTs) developed by Callaway and the microcanonical inflection point analysis (MIPA) proposed by Bachmann et al. to achieve a systematic characterization of phase transitions (PTs) in U(1) lattice electrodynamics. Besides identifyin...
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| creator | Di Cairano, Loris Gori, Matteo Sarkis, Matthieu Tkatchenko, Alexandre |
| description | We combine the microcanonical formulation of lattice gauge theories (LGTs)
developed by Callaway and the microcanonical inflection point analysis (MIPA)
proposed by Bachmann et al. to achieve a systematic characterization of phase
transitions (PTs) in U(1) lattice electrodynamics. Besides identifying the
well-known deconfinement PT (DPT) due to the neutral pair dissolution, which we
classify as a first-order PT, we unequivocally detect three higher-order PTs.
According to MIPA, we observe two independent third-order PTs in the confined
phase; instead, in the deconfined (Coulomb) phase, we observe a dependent
third-order PT. For a deeper understanding of the physical meaning of these
PTs, we numerically compute the average number density of monopolar and pair
defects as a function of energy. Our analysis reveals that DPT is only one of
the major mechanisms observable in LGT. The independent third-order PTs are
associated, respectively, to the first occurrence of monopolar topological
defects and to the production of pairs. |
| doi_str_mv | 10.48550/arxiv.2303.05306 |
| format | Article |
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developed by Callaway and the microcanonical inflection point analysis (MIPA)
proposed by Bachmann et al. to achieve a systematic characterization of phase
transitions (PTs) in U(1) lattice electrodynamics. Besides identifying the
well-known deconfinement PT (DPT) due to the neutral pair dissolution, which we
classify as a first-order PT, we unequivocally detect three higher-order PTs.
According to MIPA, we observe two independent third-order PTs in the confined
phase; instead, in the deconfined (Coulomb) phase, we observe a dependent
third-order PT. For a deeper understanding of the physical meaning of these
PTs, we numerically compute the average number density of monopolar and pair
defects as a function of energy. Our analysis reveals that DPT is only one of
the major mechanisms observable in LGT. The independent third-order PTs are
associated, respectively, to the first occurrence of monopolar topological
defects and to the production of pairs.</description><identifier>DOI: 10.48550/arxiv.2303.05306</identifier><language>eng</language><subject>Physics - High Energy Physics - Lattice ; Physics - Statistical Mechanics</subject><creationdate>2023-03</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2303.05306$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2303.05306$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Di Cairano, Loris</creatorcontrib><creatorcontrib>Gori, Matteo</creatorcontrib><creatorcontrib>Sarkis, Matthieu</creatorcontrib><creatorcontrib>Tkatchenko, Alexandre</creatorcontrib><title>Phase Transitions in Abelian Lattice Gauge Theory: Production and Dissolution of Monopoles and Monopole-Antimonopole Pairs</title><description>We combine the microcanonical formulation of lattice gauge theories (LGTs)
developed by Callaway and the microcanonical inflection point analysis (MIPA)
proposed by Bachmann et al. to achieve a systematic characterization of phase
transitions (PTs) in U(1) lattice electrodynamics. Besides identifying the
well-known deconfinement PT (DPT) due to the neutral pair dissolution, which we
classify as a first-order PT, we unequivocally detect three higher-order PTs.
According to MIPA, we observe two independent third-order PTs in the confined
phase; instead, in the deconfined (Coulomb) phase, we observe a dependent
third-order PT. For a deeper understanding of the physical meaning of these
PTs, we numerically compute the average number density of monopolar and pair
defects as a function of energy. Our analysis reveals that DPT is only one of
the major mechanisms observable in LGT. The independent third-order PTs are
associated, respectively, to the first occurrence of monopolar topological
defects and to the production of pairs.</description><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNo1kLFOwzAYhL0woMIDMOEXSHBs7LhsUYGCFESG7NEf-w-1lNqVnSDK00NDmU6f7nTSHSE3BcvvtZTsDuKX-8y5YCJnUjB1Sb6bHSSkbQSf3OSCT9R5WvU4OvC0hmlyBukW5o_f0A5DPD7QJgY7m1OYgrf00aUUxnnhMNC34MMhjJgW85-yyk9ufwbagIvpilwMMCa8PuuKtM9P7eYlq9-3r5uqzkCVKiuMNAKB99KognGLpgAjUfaix0JrEAaQW8aAiwH4oJU2qrdirfm6ZCVasSK3f7XL-O4Q3R7isTud0C0niB8zS1oi</recordid><startdate>20230309</startdate><enddate>20230309</enddate><creator>Di Cairano, Loris</creator><creator>Gori, Matteo</creator><creator>Sarkis, Matthieu</creator><creator>Tkatchenko, Alexandre</creator><scope>GOX</scope></search><sort><creationdate>20230309</creationdate><title>Phase Transitions in Abelian Lattice Gauge Theory: Production and Dissolution of Monopoles and Monopole-Antimonopole Pairs</title><author>Di Cairano, Loris ; Gori, Matteo ; Sarkis, Matthieu ; Tkatchenko, Alexandre</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-1c5c3ea2b5c6102dec1ac5e5b3be188a3cae2d00a23fa2f868c6bd39829707ed3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Physics - High Energy Physics - Lattice</topic><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Di Cairano, Loris</creatorcontrib><creatorcontrib>Gori, Matteo</creatorcontrib><creatorcontrib>Sarkis, Matthieu</creatorcontrib><creatorcontrib>Tkatchenko, Alexandre</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Di Cairano, Loris</au><au>Gori, Matteo</au><au>Sarkis, Matthieu</au><au>Tkatchenko, Alexandre</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Phase Transitions in Abelian Lattice Gauge Theory: Production and Dissolution of Monopoles and Monopole-Antimonopole Pairs</atitle><date>2023-03-09</date><risdate>2023</risdate><abstract>We combine the microcanonical formulation of lattice gauge theories (LGTs)
developed by Callaway and the microcanonical inflection point analysis (MIPA)
proposed by Bachmann et al. to achieve a systematic characterization of phase
transitions (PTs) in U(1) lattice electrodynamics. Besides identifying the
well-known deconfinement PT (DPT) due to the neutral pair dissolution, which we
classify as a first-order PT, we unequivocally detect three higher-order PTs.
According to MIPA, we observe two independent third-order PTs in the confined
phase; instead, in the deconfined (Coulomb) phase, we observe a dependent
third-order PT. For a deeper understanding of the physical meaning of these
PTs, we numerically compute the average number density of monopolar and pair
defects as a function of energy. Our analysis reveals that DPT is only one of
the major mechanisms observable in LGT. The independent third-order PTs are
associated, respectively, to the first occurrence of monopolar topological
defects and to the production of pairs.</abstract><doi>10.48550/arxiv.2303.05306</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - High Energy Physics - Lattice Physics - Statistical Mechanics |
| title | Phase Transitions in Abelian Lattice Gauge Theory: Production and Dissolution of Monopoles and Monopole-Antimonopole Pairs |
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