Order Parameters with Higher Dimensionful Composite Fields
Author(s) -
Yuki Watanabe,
Kenji Fukushima,
Tetsuo Hatsuda
Publication year - 2004
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.111.967
Subject(s) - physics , mathematical physics , scalar (mathematics) , symmetry breaking , order (exchange) , composite number , symmetry (geometry) , scalar field , field (mathematics) , quantum mechanics , pure mathematics , geometry , mathematics , materials science , finance , economics , composite material
We discuss the possibility of the spontaneous symmetry breaking characterizedby order parameters with higher dimensionful composite fields. By analyzinggeneral Ginzburg-Landau potential for a complex scalar field \phi=\phi_1 + i\phi_2 with O(2) symmetry, we demonstrate that a phase characterized by <\phi_1^2 - \phi_2^2 > \neq 0 with < \phi_1 >=< \phi_2 >=0 is realized in acertain parameter region. To clarify the driving force to favor this phase, westudy the O(2) \phi^6 theory in three dimensions.Comment: 4 pages, Latex, 3 ps-figure
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