Dec, 2008
Ward-Takahashi Identity for Yang-Mills Theory in the Exact Renormalization Group
PROGRESS OF THEORETICAL PHYSICS
- ,
- ,
- Volume
- 120
- Number
- 6
- First page
- 1017
- Last page
- 1028
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1143/PTP.120.1017
- Publisher
- PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
We give a functional derivation of the Ward-Takahashi identity for Yang-Mills theory in the framework of the exact renormalizationn group. The identity realizes non-abelian gauge symmetry nontrivially despite the presence of a momentum cutoff. The cutoff deforms the gauge transformation by introducing composite operators. In our functional method, which is an extension of the method used in our previous work in QED, these composite operators are expressed in terms of the Wilson action that depends on both a UV cutoff and an IR. cutoff.
- Link information
- ID information
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- DOI : 10.1143/PTP.120.1017
- ISSN : 0033-068X
- Web of Science ID : WOS:000262148300001