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Hedgehog Configurations in d = 3+1

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Spectral Methods in Quantum Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 777))

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In this chapter we next extend the approach of Chap. 4 to the case of three spatial dimensions. First we study the coupling of a Higgs doublet to chiral fermions, and then we generalize the background boson fields to form an SU L (2) gauge theory. We will again use a systematic expansion in ħ and 1/N in which the dominant contribution arises from the fermion loop. Our goal is thus to compute the one-fermion loop contribution to the vacuum polarization energy.

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Author information

Authors and Affiliations

  1. Dept. Physics, Middlebury College, 05753, 515 McCardell Bicentennial Hall, Middlebury, VT, USA

    Noah Graham (Prof)

  2. Universität Tübingen, FB 13 Inst. Theoretische Physik, Auf der Morgenstelle 14, 72076, Tübingen, Germany

    Markus Quandt

  3. Universität Siegen FB Physik, 57068, Emmy Noether Campus, Siegen, Germany

    Herbert Weigel

Authors
  1. Noah Graham
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  2. Markus Quandt
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  3. Herbert Weigel
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Corresponding author

Correspondence to Noah Graham .

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Graham, N., Quandt, M., Weigel, H. (2009). Hedgehog Configurations in d = 3+1. In: Spectral Methods in Quantum Field Theory. Lecture Notes in Physics, vol 777. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00139-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-00139-0_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00138-3

  • Online ISBN: 978-3-642-00139-0

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