Renormalization Using Domain Wall Regularization

スポンサーリンク

概要

• 論文の詳細を見る

• We formulate the renormalization procedure using the domain wall regularization that is based on the heat-kernel method. The quantum effects of both fermions and bosons (gauge fields) are taken into account. The background field method is quite naturally introduced. With regard to the treatment of the loop-momentum integrals, an interesting contrast between the fermion-determinant part and other parts is revealed. These points are elucidated by considering some examples. The Weyl anomalies for 2D QED and 4D QED are correctly obtained. It is found that the "chiral solution" produces (1/2)^<d/2> × "correct values", where d is the spatial dimension. Considering the model of 2D QED, both Weyl and chiral anomalies are directly obtained from the effective action. The mass and wave function renormalization are explicitly performed in 4D QED. We confirm the multiplicative (not additive) renormalization, which demonstrates the advantage of no fine-tuning. The relation with the recently popular higher-dimensional approach, such as the Randall-Sundrum model, is commented on.

• 理論物理学刊行会の論文
• 2002-05-25

著者

• ICHINOSE Shoichi

  Research Institute for Mathematical Sciences Kyoto University

• Ichinose Shin′ichi

  Research Institute for Mathematical Sciences, Kyoto University:Laboratory of Physics, School of Food and Nutritional Sciences, University of Shizuoka

関連論文

• Kerr Metric, de Donder Condition and Gravitational Energy Density
• Theory of Kondo Effect in Superconductors. I : Transition Temperature and Upper Critical Field
• Gauge Dependence of Counter-Terms and Renormalizability Problem in Quantum Gravity
• Renormalization Using Domain Wall Regularization
• Theory of Kondo Effect in Type II Superconductors
• Theory of Kondo Effect in Superconductors. II : Specific Heat Jump at the Transition Temperature

スポンサーリンク