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Evaluation of the Trace Anomaly in the U(1)Gauge Field Theory by Mathematica
https://doi.org/10.24516/00000436
https://doi.org/10.24516/00000436a3c31dc2-8069-42f5-884d-2d060492745a
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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公開日 | 2021-03-22 | |||||||||||
タイトル | ||||||||||||
タイトル | Evaluation of the Trace Anomaly in the U(1)Gauge Field Theory by Mathematica | |||||||||||
タイトル | ||||||||||||
タイトル | Evaluation of the Trace Anomaly in the U(1)Gauge Field Theory by Mathematica | |||||||||||
言語 | en | |||||||||||
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言語 | eng | |||||||||||
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資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
資源タイプ | departmental bulletin paper | |||||||||||
ID登録 | ||||||||||||
ID登録 | 10.24516/00000436 | |||||||||||
ID登録タイプ | JaLC | |||||||||||
著者 |
瀬尾, 幸市
× 瀬尾, 幸市
× Seo, Koichi
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抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | A computational method by Mathematica developed by the author is extended to evaluate the trace anomaly for the U(1) gauge field in the gravitational background field. In the general covariant gauge, the differential operator in the exponent of the heat kernel becomes non-diagonal with respect to the Lorentz indices, and this makes the calculation complicated. The result agrees with Endo's one, and is dependent on the gauge parameter. The gauge dependence must be cancelled by adding a local counter term. Besides the DeWitt-Schwinger coefficients after taking the trace with respect to the Lorentz indices, we first present the gauge dependent DeWitt-Schwinger coefficients before taking the trace. | |||||||||||
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内容記述タイプ | Other | |||||||||||
内容記述 | A computational method by Mathematica developed by the author is extended to evaluate the trace anomaly for the U(1) gauge field in the gravitational background field. In the general covariant gauge, the differential operator in the exponent of the heat kernel becomes non-diagonal with respect to the Lorentz indices, and this makes the calculation complicated. The result agrees with Endo's one, and is dependent on the gauge parameter. The gauge dependence must be cancelled by adding a local counter term. Besides the DeWitt-Schwinger coefficients after taking the trace with respect to the Lorentz indices, we first present the gauge dependent DeWitt-Schwinger coefficients before taking the trace. | |||||||||||
書誌情報 |
岐阜市立女子短期大学研究紀要 en : Bulletin of Gifu City Women's College 巻 52, p. 73-86, 発行日 2002 |
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出版者 | 岐阜市立女子短期大学 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | ISSN | |||||||||||
収録物識別子 | 09163174 | |||||||||||
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収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AN10208264 | |||||||||||
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識別子タイプ | NAID | |||||||||||
関連識別子 | 110004436608 |