On U(1) Gauge Theory Transfer-Matrix in Fourier Basis* |
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Authors: | Narges Vadood Amir H Fatollahi |
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Institution: | Department of Physics, Alzahra University, Tehran 1993891167, Iran |
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Abstract: | The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored. Among other statements it is shown: (i) the transfer-matrix is block-diagonal, (ii) all consisting vectors of a block are known based on an arbitrary block vector, (iii) the ground-state belongs to the zero-mode's block. The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified. Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements. |
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Keywords: | lattice gauge theories transfer-matrix method energy spectrum |
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