Title: Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">O</mml:mi><mml:mi /><mml:mn /><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>-Symmetric (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>6</mml:mn…
Abstract: At large $N$, the $\ensuremath{\eta}{\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\varphi}}}^{6}$ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an exact scale invariance at leading $N$ results in the formation of a massless composite Goldstone mode, the dilaton. We compare these results to standard $\frac{1}{N}$ expansion and emphasize the nonperturbative nature of these phenomena.
Publication Year: 1984
Publication Date: 1984-04-02
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 150
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot