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Covariant Perturbation Expansion of Off-Diagonal Heat Kernel

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Abstract

Covariant perturbation expansion is an important method in quantum field theory. In this paper an expansion up to arbitrary order for off-diagonal heat kernels in flat space based on the covariant perturbation expansion is given. In literature, only diagonal heat kernels are calculated based on the covariant perturbation expansion.

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Acknowledgments

We are very indebted to Dr G. Zeitrauman for his encouragement. This work is supported in part by NSF of China under 1575125 and No. 11375128.

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Authors and Affiliations

  1. Department of Physics, Tianjin University, Tianjin, 300072, People’s Republic of China

    Yu-Zi Gou, Wen-Du Li & Wu-Sheng Dai

  2. School of Finance, Capital University of Economics and Business, Beijing, 100070, People’s Republic of China

    Ping Zhang

  3. LiuHui Center for Applied Mathematics, Nankai University & Tianjin University, Tianjin, 300072, People’s Republic of China

    Wu-Sheng Dai

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  1. Yu-Zi Gou
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  2. Wen-Du Li
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  3. Ping Zhang
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  4. Wu-Sheng Dai
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Correspondence to Ping Zhang or Wu-Sheng Dai.

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Gou, YZ., Li, WD., Zhang, P. et al. Covariant Perturbation Expansion of Off-Diagonal Heat Kernel. Int J Theor Phys 55, 3400–3413 (2016). https://doi.org/10.1007/s10773-016-2968-0

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  • DOI: https://doi.org/10.1007/s10773-016-2968-0

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