ar X iv : h ep - t h / 04 11 27 3 v 1 3 0 N ov 2 00 4 Field Theory Methods in Classical Dynamics ∗ †
نویسنده
چکیده
A Dirac picture perturbation theory is developed for the time evolution operator in classical dynamics in the spirit of the Schwinger-Feynman-Dyson perturbation expansion and detailed rules are derived for computations. Complexification formalisms are given for the time evolution operator suitable for phase space analyses, and then extended to a two-dimensional setting for a study of the geometrical Berry phase as an example. Finally a direct integration of Hamilton’s equations is shown to lead naturally to a path integral expression, as a resolution of the identity, as applied to arbitrary functions of generalized coordinates and momenta.
منابع مشابه
ar X iv : h ep - t h / 06 11 21 2 v 1 2 0 N ov 2 00 6 Dynamics of Weyl Scale Invariant non - BPS p = 3 Brane
The action of Weyl scale invariant p=3 brane (domain wall) which breaks the target super Weyl scale symmetry in the N=1, 5D superspace down to the lower dimensional Weyl symmetry W (1, 3) is derived by the approach of coset method. Its dual form action for the Weyl scale invariant tensor gauge field theory is also constructed.
متن کاملar X iv : h ep - t h / 03 11 04 8 v 1 6 N ov 2 00 3 Wavelet based regularization for Euclidean field theory and stochastic quantization
It is shown that Euclidean field theory with polynomial interaction, can be regularized using the wavelet representation of the fields. The connections between wavelet based regularization and stochastic quantization are considered with φ 3 field theory taken as an example.
متن کاملar X iv : h ep - t h / 02 11 04 8 v 1 7 N ov 2 00 2 Inflation , Quantum Cosmology and the Anthropic Principle 1
متن کامل
ar X iv : h ep - p h / 04 11 20 4 v 1 1 6 N ov 2 00 4 OU - HET - 501 Chiral - Odd Twist - 3 Distribution Function e ( x )
We clarify the nonperturbative origin of the δ-function singularity at x = 0 in the chiral-odd twist-3 distribution function e(x) of the nucleon. We also compare a theoretical prediction for e(x) based on the chiral quark soliton model with the empirical information extracted from the CLAS semi-inclusive DIS measurement.
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:
دوره شماره
صفحات -
تاریخ انتشار 2004