TY - JOUR
T1 - Critical theories of the dissipative Hofstadter model
AU - Callan, Curtis Gove
AU - Felce, Andrew G.
AU - Freed, Denise E.
N1 - Funding Information:
This work was supported in part by DOE grant DE-ACO2-84-1553. D.F. was also supported by DOE grant DE-ACO2-76ER03069 and by NSF grant 87-08447. A.F. also received support from an Upton Foundation Fellowship.
PY - 1993/3/15
Y1 - 1993/3/15
N2 - It has recently been shown that the dissipative Hofstadter model (dissipative quantum mechanics of an electron subject to uniform magnetic field and periodic potential in two dimensions) exhibits critical behavior on a network of lines in the dissipation/magnetic field plane. Apart from their obvious condensed matter interest, the corresponding critical theories represent non-trivial solutions of open string field theory, and a detailed account of their properties would be interesting from several points of view. A subject of particular interest is the dependence of physical quantities on the magnetic field since it, much like θQCD, serves only to give relative phases to different sectors of the partition sum. In this paper we report the results of an initial investigation of the free energy, N-point functions and boundary state of this type of critical theory. Although our primary goal is the study of the magnetic field dependence of these quantities, we will present some new results which bear on the zero magnetic field case as well.
AB - It has recently been shown that the dissipative Hofstadter model (dissipative quantum mechanics of an electron subject to uniform magnetic field and periodic potential in two dimensions) exhibits critical behavior on a network of lines in the dissipation/magnetic field plane. Apart from their obvious condensed matter interest, the corresponding critical theories represent non-trivial solutions of open string field theory, and a detailed account of their properties would be interesting from several points of view. A subject of particular interest is the dependence of physical quantities on the magnetic field since it, much like θQCD, serves only to give relative phases to different sectors of the partition sum. In this paper we report the results of an initial investigation of the free energy, N-point functions and boundary state of this type of critical theory. Although our primary goal is the study of the magnetic field dependence of these quantities, we will present some new results which bear on the zero magnetic field case as well.
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U2 - 10.1016/0550-3213(93)90517-S
DO - 10.1016/0550-3213(93)90517-S
M3 - Article
AN - SCOPUS:0000202949
SN - 0550-3213
VL - 392
SP - 551
EP - 592
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -