Dimensional reduction and quantum-to-classical reduction at high temperatures.
نویسنده
چکیده
We discuss the relation between dimensional reduction in quantum field theories at finite temperature and a familiar quantummechanical phenomenon that quantum effects become negligible at high temperatures. Fermi and Bose fields are compared in this respect. We show that decoupling of fermions from the dimensionally reduced theory can be related to the non-existence of classical statistics for a Fermi field. 11.10.Wx Typeset using REVTEX ∗E-mail: [email protected].
منابع مشابه
Covariant derivative expansion of Yang-Mills effective action at high temperatures
Integrating out fast varying quantum fluctuations about Yang–Mills fields Ai and A4, we arrive at the effective action for those fields at high temperatures. Assuming that the fields Ai and A4 are slowly varying but that the amplitude of A4 is arbitrary, we find a nontrivial effective gauge invariant action both in the electric and magnetic sectors. Our results can be used for studying correlat...
متن کاملWhen the classical & quantum mechanical considerations hint to a single point; a microscopic particle in a one dimensional box with two infinite walls and a linear potential inside it
In this paper we have solved analytically the Schrödinger equation for a microscopic particle in a one-dimensional box with two infinite walls, which the potential function inside it, has a linear form. Based on the solutions of this special quantum mechanical system, we have shown that as the quantum number approaches infinity the expectation values of microscopic particle position and square ...
متن کاملQuantum Field Theory at Finite Temperature: an Introduction
In these notes we review some properties of Statistical Quantum Field Theory at equilibrium, i.e Quantum Field Theory at finite temperature. We explain the relation between finite temperature quantum field theory in (d, 1) dimensions and statistical classical field theory in d + 1 dimensions. This identification allows to analyze the finite temperature QFT in terms of the renormalization group ...
متن کاملD-Theory: Field Quantization by Dimensional Reduction of Discrete Variables
D-theory is an alternative non-perturbative approach to quantum field theory formulated in terms of discrete quantized variables instead of classical fields. Classical scalar fields are replaced by generalized quantum spins and classical gauge fields are replaced by quantum links. The classical fields of a d-dimensional quantum field theory reappear as lowenergy effective degrees of freedom of ...
متن کاملDESY 97-148 hep-ph/9708229 CLASSICAL LIMIT IN SCALAR QFT AT HIGH TEMPERATURE
The complete description of a high temperature plasma concerns also the computation of dynamical quantities (damping rates, topological transitions etc.). Since there does not exist a direct nonperturbative method to perform these calculations, it is worth to concentrate on the most relevant degrees of freedom of the system and to use an effective theory for them. At high temperatures the most ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. D, Particles and fields
دوره 52 6 شماره
صفحات -
تاریخ انتشار 1995