Critical Phenomena: field theoretical approach
نویسندگان
چکیده
منابع مشابه
Exact renormalization group equations and the field theoretical approach to critical phenomena
After a brief presentation of the exact renormalization group equation, we illustrate how the field theoretical (perturbative) approach to critical phenomena takes place in the more general Wilson (nonperturbative) approach. Notions such as the continuum limit and the renormalizability and the presence of singularities in the perturbative series are discussed. This paper has two parts. In the f...
متن کاملField Theory, Critical Phenomena and Interfaces
1 Field Theory 2 1.1 Canonical Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Green’s Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Euclidean Time Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Example: Free Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.5 Functional Integral Formulation...
متن کاملFinite - Size Effects in Critical Phenomena from Mean Field Approach with φ 4 Model
The finite-size effects in critical phenomena of a thin film system are studied from a mean field (MF) approach with φ model for second-order phase transition. The influence of boundary condition on the critical properties are emphasized. Scaling functions for relative free-energy and relative specific heat capacity are given. PACS numbers: 68.35.Rh, 05.70.Jk The critical phenomena in the therm...
متن کاملFrom Random Walks to Critical Phenomena and Conformal Field Theory
In class, we approached critical phenomena from the view point of correlation functions and discussed renormalization group methods for obtaining values of critical exponents. Here I discuss a parallel idea that studies critical phenomena from properties of random curves which form the domain walls of the critical system. It will be shown that such random curves obey a stochastic differential e...
متن کاملField - Theoretic Techniques in the Study of Critical Phenomena
We shortly illustrate how the field-theoretic approach to critical phenomena takes place in the more complete Wilson theory of renormalization and qualitatively discuss its domain of validity. By the way, we suggest that the differential renormalization functions (like the β-function) of the perturbative scalar theory in four dimensions (ϕ 4 4) should be Borel summable provided they are calcula...
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: Scholarpedia
سال: 2010
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.8346