Quantum complex sine-Gordon model on a half line
Peter Bowcock, Georgios Tzamtzis
TL;DR
This paper investigates the quantum complex sine-Gordon model on a half line, calculating boundary bound states and proposing a reflection factor consistent with theoretical principles and semi-classical analysis.
Contribution
It provides the first semi-classical spectrum analysis of boundary states and proposes a reflection factor aligned with unitarity and crossing symmetry.
Findings
Boundary bound state spectrum matches bootstrap predictions
A conjectured reflection factor is consistent with unitarity and crossing symmetry
Semi-classical results support the proposed reflection factor
Abstract
The quantum complex sine-Gordon model on a half line is studied. The quantum spectrum of boundary bound states using the the semi-classical method of Dashen, Hasslacher and Neveu is obtained. The results are compared and found to agree with the bootstrap programme. A particle/soliton reflection factor is conjectured, which is consistent with unitary, crossing and our semi-classical results.
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