Short-distance Schwinger-mechanism and chiral symmetry
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Short-distance Schwinger-mechanism and chiral symmetry. / McGady, David A.; Brogård, Jon.
In: arXiv.org: Physics, 09.11.2017.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Short-distance Schwinger-mechanism and chiral symmetry
AU - McGady, David A.
AU - Brogård, Jon
N1 - 11 pages, 6 figures
PY - 2017/11/9
Y1 - 2017/11/9
N2 - In this paper, we study Schwinger pair production of charged massless particles in constant electric fields of finite-extent. Exploiting a map from the Dirac and Klein-Gordon equation to the harmonic oscillator, we find exact pair production rates for massless fermions and scalars. Pair production rates depend only on the ratio between the capacitor plate separation, $\ell$, and the length-scale of the force-field, $\ell_F$. Chirality ensures that fermion production smoothly vanishes with $\ell/\ell_F$. Scalar pair production though diverges exponentially quickly in this limit. The same limit of the smooth tanh-potential does not diverge; divergences seem tied to singularities in current and charge densities.
AB - In this paper, we study Schwinger pair production of charged massless particles in constant electric fields of finite-extent. Exploiting a map from the Dirac and Klein-Gordon equation to the harmonic oscillator, we find exact pair production rates for massless fermions and scalars. Pair production rates depend only on the ratio between the capacitor plate separation, $\ell$, and the length-scale of the force-field, $\ell_F$. Chirality ensures that fermion production smoothly vanishes with $\ell/\ell_F$. Scalar pair production though diverges exponentially quickly in this limit. The same limit of the smooth tanh-potential does not diverge; divergences seem tied to singularities in current and charge densities.
KW - hep-th
KW - cond-mat.str-el
KW - hep-ph
M3 - Journal article
JO - arXiv.org: Physics
JF - arXiv.org: Physics
ER -
ID: 185899999