Differential Renormalization of Scalar Field Theory in the Background-Field Method
نویسندگان
چکیده
We introduce an approach for calculating the quantum loop corrections in the φ theory. Differential regularization and background-field method are essential tools and are used to calculate the effective action of the theory to two-loop order. Our approach is considerably simpler than other known methods and can be readily extended to higher-loop calculations and to other models.
منابع مشابه
ar X iv : h ep - t h / 96 05 13 9 v 1 2 1 M ay 1 99 6 Differential Renormalization of QCD in the Background - Field Method
A short outline is given on the application of differential regularization to QCD in the background-field method. The derivation of the propagators in the background gluon field as short-distance expansions is described and the renormalization of the theory is mentioned.
متن کاملCasimir effects of nano objects in fluctuating scalar and electromagnetic fields: Thermodynamic investigating
Casimir entropy is an important aspect of casimir effect and at the nanoscale is visible. In this paper, we employ the path integral method to obtain a general relation for casimir entropy and internal energy of arbitrary shaped objects in the presence of two, three and four dimension scalar fields and the electromagnetic field. For this purpose, using Lagrangian and based on a perturb...
متن کاملرد تانسور انرژی- تکانه و پس‌زنی گرانشی اسکالرهای شوینگر در فضازمان دوسیته سه‌بعدی
In this paper, we consider a massive charged scalar field coupled to a uniform electric field background in a 3 dimensional de Sitter spacetime. We consider the value of the dimensionless coupling constant of the scalar field to the scalar curvature of a 3 dimensional de Sitter spacetime equal to 1/8. We compute the expectation value of the trace of the energy-momentum tensor in the in-vacuum s...
متن کاملbeta functions of a scalar theory coupled to gravity.
We study a scalar field theory coupled to gravity on a flat background, below Planck’s energy. Einstein’s theory is treated as an effective field theory. Within the context of Wilson’s renormalization group, we compute gravitational corrections to the beta functions and the anomalous dimension of the scalar field, taking into account threshold effects.
متن کاملA meshless discrete Galerkin method for solving the universe evolution differential equations based on the moving least squares approximation
In terms of observational data, there are some problems in the standard Big Bang cosmological model. Inflation era, early accelerated phase of the evolution of the universe, can successfully solve these problems. The inflation epoch can be explained by scalar inflaton field. The evolution of this field is presented by a non-linear differential equation. This equation is considered in FLRW model...
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 1995