Semi-classical limit of large fermionic systems at positive temperature
نویسندگان
چکیده
منابع مشابه
Semi-classical Limit of Wave Functions
A bstract . We study in one dimension the semi-classical limit of the exact eigenfunction Ψh E(N,h) of the Hamiltonian H = − 1 2 h2∆ + V (x), for a potential V being analytic, bounded below and lim|x|→∞ V (x) = +∞. The main result of this paper is that for any given E > minx∈R1 V (x) with two turning points, the exact L2 normalized eigenfunction |Ψh E(N,h) (q)|2 converges to the classical proba...
متن کاملClassical Limit for Scalar Fields at High Temperature
We study real-time correlation functions in scalar quantum field theories at temperature T = 1/β. We show that the behaviour of soft, long wave length modes is determined by classical statistical field theory. The loss of quantum coherence is due to interactions with the soft modes of the thermal bath. The soft modes are separated from the hard modes by an infrared cutoff Λ ≪ 1/(¯ hβ). Integrat...
متن کاملSemi-Fermionic Approach for Quantum Spin Systems∗
We present a general derivation of semi-fermionic representation for generators of SU(N) group as a bilinear combination of Fermi operators. The constraints are fulfilled by means of imaginary Lagrange multipliers. The important case of SU(2) group is discussed. We demonstrate how the idea of semi-fermionic representation might be extended to the groups possessing dynamic symmetries. As an exam...
متن کاملQuantum spin systems at positive temperature
We develop a novel approach to phase transitions in quantum spin models based on a relation to their classical counterparts. Explicitly, we show that whenever chessboard estimates can be used to prove a phase transition in the classical model, the corresponding quantum model will have a similar phase transition, provided the inverse temperature β and the magnitude of the quantum spins S satisfy...
متن کاملFermionic Vector Model Solitons in the Large N Limit
The large N limit of fermionic vectors models is studied using bilocal variables, in the framework of a collective field theory approach. The large N configuration is determined completely using only classical solutions of the model. Further, the Bethe-Salpeter equations of the model are cast as a Green’s function problem. One of the main results of this work is to show that this Green’s functi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2019
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5094397