Geometric Entropy, Wave Functionals, and Fermions
Finn Larsen, Frank Wilczek
TL;DR
This paper introduces methods for calculating ground state wave functionals and geometric entropy in simple field theories, focusing on fermions, with explicit two-dimensional examples for bosons and fermions using adapted techniques.
Contribution
It presents new techniques for computing wave functionals and geometric entropy, especially addressing the technical challenges posed by fermions in field theories.
Findings
Explicit calculations for 2D free bosons and fermions.
Adaptation of Unruh's technique for black hole radiance.
Technical advancements in fermionic field theory analysis.
Abstract
We develop techniques for calculating the ground state wave functional and the geometric entropy for some simple field theories. Special attention is devoted to fermions, which present special technical difficulties in this regard. Explicit calculations are carried through for free mass bosons and fermions in two dimensions, using an adaptation of Unruh's technique to treat black hole radiance.
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