A relation between the Barbero-Immirzi parameter and the standard model

作者：Broda Boguslaw^*; Szanecki Michal

来源：Physics Letters B, 2010, 690(1): 87-89.

DOI：10.1016/j.physletb.2010.05.004

• Ashtekar canonical variables
• Loop quantum gravity
• Barbero-Immirzi parameter
• Holst action
• Nieh-Yan form
• ABJ chiral anomaly
• Schwinger proper-time formalism
• Seeley-DeWitt heat-kernel expansion
• Space-time with torsion

It has been shown that Sakharov's induced, from the fields entering the standard model, Barbero-Immirzi parameter gamma assumes, in the framework of Euclidean formalism, the UV cutoff-independent value, 1/9. The calculus uses the Schwinger's proper-time formalism, the Seeley-DeWitt heat-kernel expansion, and it is akin to the derivation of the ABJ chiral anomaly in space-time with torsion.

• 出版日期2010-6-7