서지주요정보
(A) study on the phase transition of decay rate in field theoreticl models = 장이론 모델들에서의 붕괴율의 상변화에 대한 연구
서명 / 저자 (A) study on the phase transition of decay rate in field theoreticl models = 장이론 모델들에서의 붕괴율의 상변화에 대한 연구 / Hung-Soo Kim.
저자명 Kim, Hung-Soo ; 김흥수
발행사항 [대전 : 한국과학기술원, 1999].
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8010372

소장위치/청구기호

학술문화관(문화관) 보존서고

DPH 99015

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The phase transition of decay rate from quantum tunneling to thermal activity regime is investigated in several field theoretical models. The asymmetric double well potential model in which the asymmetric term is given by fφ or $\delta\phi^3$, is treated in various dimensions such as (1+1) and (1+3)-dimension. By applying two independent criteria for the first-order transition to the models in (1+3)-dimensional case, the upper and lower bounds of critical value of the parameter of the asymmetric term are obtained as 1.02 < δ <1.42. And we study the relationship between the number of negative modes of the periodic instanton in the vicinity of the sphaleron solution and the type of decay rate transition. We re-drive the criterion for the first order transition which was reported by Gorokhov and Blatter by counting the number of negative modes. For the first order transtion case, the lowest positive mode at low energy periodic instanton becomes additional negative mode at high energy regime, while for the second order case, there is only one negative mode in the full range of energy. And we examine the winding number transition in the Mottola-Wipf model with and without Skyrme term. For the model with Skyrme term the number of discrete modes of the fluctuation operator around the sphaleron is shown to be dependent of the parameter. Following Gorokhov and Blatter we derive the sufficient condition for the sharp first order phase transition, which indicates that first order transition occurs when $0 < \lambda\omega^2 < 0.0399$ and $2.148 < \lambda\omega^2$. In the intermediate region of $\lambda\omega^2$ the winding number transition is conjectured to be smooth second order. While, for the model without Skyrme term the winding number transition is always first order regardless of the parameter.

서지기타정보

서지기타정보
청구기호 {DPH 99015
형태사항 iii, 87 p. : 삽도 ; 26 cm
언어 영어
일반주기 Appendix : Calculation of $g_v,1(x) and g_v,2(x)
저자명의 한글표기 : 김흥수
지도교수의 영문표기 : Ki-Woon Choi
지도교수의 한글표기 : 최기운
학위논문 학위논문(박사) - 한국과학기술원 : 물리학과,
서지주기 Reference : p. 81-83
주제 Phase transition
Decay rate
Mottola-Wipf model
페이스 트랜지션
붕괴율
모톨라-와이프 모델
QR CODE qr code