E Ragoucy 2009 J. Phys. A: Math. Theor. 42 295205 doi:10.1088/1751-8113/42/29/295205
E Ragoucy
Show affiliationsWe construct a bosonic quantum field on a general quantum graph. Consistency of the construction leads to the calculation of the total scattering matrix of the graph. This matrix is equivalent to that already proposed using the generalized star-product approach. We give several examples and show how they generalize some of the scattering matrices computed in the mathematical or condensed matter physics literature. Then, we apply the construction for the calculation of the conductance of graphs, within a small distance approximation. The consistency of the approximation is proved by direct comparison with the exact calculation for the 'tadpole' graph.
81Txx Quantum field theory; related classical field theories (See also 70Sxx)
Issue 29 (24 July 2009)
Received 27 January 2009, in final form 2 June 2009
Published 30 June 2009
E Ragoucy 2009 J. Phys. A: Math. Theor. 42 295205
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