Renormalization of the Commutative Scalar Theory with Harmonic Term to All Orders

de Goursac A.

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Renormalization of the Commutative Scalar Theory with Harmonic Term to All Orders

机译：具有所有阶调和项的可交换标量理论的重新归一化

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The noncommutative scalar theory with harmonic term (on the Moyal space) has a vanishing beta function. In this paper, we prove the renormalizability of the commutative scalar field theory with harmonic term to all orders using multiscale analysis in the momentum space. Then, we consider and compute its one-loop beta function, as well as the one on the degenerate Moyal space. We can finally compare both to the vanishing beta function of the theory with harmonic term on the Moyal space.

机译：具有谐波项的非可交换标量理论（在Moyal空间上）具有消失的beta函数。在本文中，我们使用动量空间中的多尺度分析证明了带有调和项的可交换标量场理论对所有阶的可重整化性。然后，我们考虑并计算其一环beta函数以及退化Moyal空间上的一环beta函数。我们最终可以将两者与Moyal空间上具有调和项的理论的消失的beta函数进行比较。

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《Annales Henri Poincare》 |2013年第8期|共19页
作者
de Goursac A.;
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正文语种 eng
中图分类理论物理学;
关键词
Renormalization; Commutative Scalar Theory; Harmonic Term;

机译：重归一化;交换标量理论;调和项;

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1. Renormalization of the Commutative Scalar Theory with Harmonic Term to All Orders [J] . de Goursac A. Annales Henri Poincare . 2013,第8期

机译：具有所有阶调和项的可交换标量理论的重新归一化
2. The renormalization of non-commutative field theories in the limit of large non-commutativity [J] . Becchi C., Giusto S., Imbimbo C. Nuclear physics, B . 2003,第1a2期

机译：在大非交换性的极限下非交换场论的重新归一化
3. Renormalization of the periodic scalar field theory by Polchinski's renormalization group method [J] . Nandori I., Sailer K., Jentschura UD., Journal of Physics, G. Nuclear and Particle Physics: An Institute of Physics Journal . 2002,第4期

机译：用Polchinski重整化群方法对周期标量场理论进行重整化
4. A group theoretical approach to quantum theories on commutative and non-commutative spheres [C] . K Odaka, S Sakoda International Colloquium on Group Theoretical Methods in Physics . 2003

机译：兼容性和非换向球上量子理论的理论方法
5. Spectral analysis of fractal noise in terms of Wiener's generalized harmonic analysis and wavelet theory. [D] . Scott, Sherry Euvette. 2000

机译：利用维纳广义谐波分析和小波理论对分形噪声进行频谱分析。
6. Static and slowly rotating neutron stars in scalar–tensor theory with self-interacting massive scalar field [O] . Kalin V. Staykov, Dimitar Popchev, Daniela D. Doneva, -1

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7. Renormalization of the commutative scalar theory with harmonic term to all orders [O] . Marcillaud de Goursac, Axel 2013

机译：用所有项的谐波项对交换标量理论进行重新归一化

Renormalization of the Commutative Scalar Theory with Harmonic Term to All Orders

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