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The renormalisation group and effective field theories [PDF]
Much apprehension has been expressed by philosophers about the method of renormalisation in quantum field theory, as it apparently requires illegitimate procedure of infinite cancellation. This has lead to various speculations, in particular in Teller (1989). We examine Teller's discussion of perturbative renormalisation of quantum fields, and show why
Robert Weingard, Nick Huggett
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Exotic Galileian group in field theory
Journal of Mathematical Sciences, 2006Using the properties of Seiberg-Witten map the author establishes an interpretation of the exotic Galileian group of families of non-relativistic field theories on a noncommutative plane. Also the description for the class of self-interaction theories is provided.
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Group Theory and Crystal Field Theory
1961Publisher Summary The chapter describes crystal field theory that concerns with an attempt to calculate as much as possible about the behavior of solids on the basis of a known or assumed symmetry of the problem and with the simplifying assumption that the interaction between the ion or atom of interest and its nearest neighbors is electrostatic in ...
Paul H. E. Meijer, Charles M. Herzfeld
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Lie groups and thermal field theory
Physics Letters A, 1995Considering basic ingredients of the so-called thermofield dynamics associated with a Lie algebra, L, an algebra, LT, is derived using the first kind of solution of the modified Yang-Baxter equation. LT has a double algebraic structure and represents a new possibility of representations for Lie symmetries associated with the thermal phenomena.
Faqir C. Khanna+3 more
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Polchinski's equation for group field theory
Fortschritte der Physik, 2014AbstractWe derive an exact renormalization group equation in the context of (colored) group field theories. This equation describes the variation of the effective action as some of the modes of the fields are integrated out. From a combinatorial point of view, the effective action can be expressed using a boundary triangulation and the corresponding ...
Krajewski, Thomas, Toriumi, Reiko
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Group Contraction in Quantum Field Theory
International Journal of Theoretical Physics, 2007Group contraction plays a relevant role in spontaneously broken symmetry theories. Its physical meaning in connection with Bose condensation and the origin of macroscopic quantum systems is discussed.
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quantum field theory as group algebra
Reports on Mathematical Physics, 1976Abstract A group theoretical approach to dynamical quantization in general, and quantum field theory in particular, is developed. This approach opens possibilities of new quantization schemes. Some of these schemes are discussed in detail. They offer certain advantages such as relaxation of the conventional principles of unitarity and causality on ...
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto+2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce+2 more
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