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arXiv 0808.3474hep-th
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加权功率计数和洛伦兹违反规范理论。II:分类

Weighted power counting and Lorentz violating gauge theories. II: Classification

Damiano Anselmi

摘要:

我们对局部的、多项式的、酉的规范理论进行了分类,这些规范理论在高能时明显违反了洛仑兹对称性,并且可以通过加权幂次计数进行重正化。我们研究了此类理论的结构,并证明重整化不会产生更高的时间导数。对于一些通常不可重正化的顶点,如两个标量-二费米子相互作用和四个费米子相互作用,我们给出了重正化的条件。一些四维的例子。

英文摘要:

We classify the local, polynomial, unitary gauge theories that violate Lorentz symmetry explicitly at high energies and are renormalizable by weighted power counting. We study the structure of such theories and prove that renormalization does not generate higher time derivatives. We work out the conditions to renormalize vertices that are usually non-renormalizable, such as the two scalar-two fermion interactions and the four fermion interactions. A number of four dimensional examples are presented.

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