C-theorem

C-theorem

In theoretical physics, specifically quantum field theory, a C-theorem states that there exists a function, C(g^{}_i,mu), depending on the coupling constants of the quantum field theory, g^{}_i, and on the energy scale, mu^{}_{}, which has the following properties:

*C(g^{}_i,mu) decreases monotonically under renormalization group (RG) flow.

*At fixed points of the RG flow, which are specified by a set of fixed-point couplings g^*_i, the function C(g^*_i,mu)=C_* is a constant, independent of energy scale.

If such a so-called C-function exists for a given quantum field theory, it tells us that the RG flow of the theory is irreversible.

Zamolodchikov proved that two-dimensional quantum field theory always has a C-function. Moreover, at fixed points, Zamolodchikov's C-function is equal to the central charge of the corresponding conformal field theory.

It has not yet been possible to prove a C-theorem in higher-dimensional quantum field theory.

ee also

*Conformal field theory

References

*A.B Zamolodchikov, ``Irreversibility' Of The Flux Of The Renormalization Group In A 2-D Field Theory, JETP Lett.43:730-732,1986.

External links


Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • Theorem — The o*rem, n. [L. theorema, Gr. ? a sight, speculation, theory, theorem, fr. ? to look at, ? a spectator: cf. F. th[ e]or[ e]me. See {Theory}.] 1. That which is considered and established as a principle; hence, sometimes, a rule. [1913 Webster]… …   The Collaborative International Dictionary of English

  • Theorem of Pappus — Theorem The o*rem, n. [L. theorema, Gr. ? a sight, speculation, theory, theorem, fr. ? to look at, ? a spectator: cf. F. th[ e]or[ e]me. See {Theory}.] 1. That which is considered and established as a principle; hence, sometimes, a rule. [1913… …   The Collaborative International Dictionary of English

  • Theorem der korrespondierenden Zustände — Theorem der korrespondierenden Zustände,   Theorem der übereinstimmenden Zustände, 1881 von J. D. van der Waals aufgestellter thermodynamischer Satz, der davon ausgeht, dass sich alle Stoffe am kritischen Punkt (kritischer Zustand) in einem… …   Universal-Lexikon

  • Theorem Stencil — Theorem stencil, sometimes also called theorem painting or velvet painting, is the art of making stencils and using them to make drawings or paintings on fabric or paper. [Chotner, Deborah (1992). American Naive Paintings , pp. 370 71. Oxford… …   Wikipedia

  • Theorem — The o*rem, v. t. To formulate into a theorem. [1913 Webster] …   The Collaborative International Dictionary of English

  • Theorem Proving in Higher-Order Logics — (TPHOLs) is an annual international academic conference on the topic of automated reasoning in higher order logics. The first TPHOLs was held in Cambridge, UK in 1987, but in the early years was an informal gathering of researchers interested in… …   Wikipedia

  • Theorēm — (griech.), soviel wie Lehrsatz …   Meyers Großes Konversations-Lexikon

  • Theorem — Theorēm (grch.), Lehrsatz …   Kleines Konversations-Lexikon

  • Theorem — Theorem, griech. (das Wort mit allen damit verwandten Ausdrücken hat seine Wurzel in einem griech. Zeitworte, welches bedeutet: anschauen, besonders: innerlich, geistig anschauen, in seinen letzten Gründen etwas schauen), der Lehrsatz; t. atisch …   Herders Conversations-Lexikon

  • theorem — index inference, postulate, prescription (directive), principle (axiom), supposition Burton s Legal Thesaurus. William …   Law dictionary

  • Theorem — Theorem,das:⇨Lehrsatz …   Das Wörterbuch der Synonyme

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”