Phase structures of a 4-fermion interaction model = 4-페르미온 상호작용 모델의 상(相) 구조

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Dynamical symmetry breakings in a two dimensional massless fermion field theory with quartic interactions(the Gross-Neveu model) are investigated in the large fermion number (N)-limit on a space with the S1XS1 topology which may correspond to the finite-volume system at finit-temperature. Four types and the sum of spin-structures are considered. It is shown that the model has a richer phase structure in all boundary conditions than those in R2 or R1 X S1 space-time. It depends on the effective area and the ratio of the circumferences of the two circles whether dynamical symmetry breakings occur or not, where the effective area is of the order of real, area multiplied by the square of the fermion mass, $M_F2$. . In the sum of spin-structures, the phase diagram is the same as that of the periodic-periodic boundary condition and the critical line equation can be written in the modular invariant form. The critical line equations are physical equations which do not depend on renormalization point.
Advisors
Kim, Jae-Kwan김재관
Description
한국과학기술원 : 물리학과,
Publisher
한국과학기술원
Issue Date
1991
Identifier
61634/325007 / 000855191
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 물리학과, 1991.2, [ vi, 59 p. ]

URI
http://hdl.handle.net/10203/47814
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=61634&flag=dissertation
Appears in Collection
PH-Theses_Ph.D.(박사논문)
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