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Title: Complex saddle points and disorder lines in QCD at finite temperature and density

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Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 91; Journal Issue: 5; Journal ID: ISSN 1550-7998
American Physical Society
Country of Publication:
United States

Citation Formats

Nishimura, Hiromichi, Ogilvie, Michael C., and Pangeni, Kamal. Complex saddle points and disorder lines in QCD at finite temperature and density. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.054004.
Nishimura, Hiromichi, Ogilvie, Michael C., & Pangeni, Kamal. Complex saddle points and disorder lines in QCD at finite temperature and density. United States. doi:10.1103/PhysRevD.91.054004.
Nishimura, Hiromichi, Ogilvie, Michael C., and Pangeni, Kamal. 2015. "Complex saddle points and disorder lines in QCD at finite temperature and density". United States. doi:10.1103/PhysRevD.91.054004.
title = {Complex saddle points and disorder lines in QCD at finite temperature and density},
author = {Nishimura, Hiromichi and Ogilvie, Michael C. and Pangeni, Kamal},
abstractNote = {},
doi = {10.1103/PhysRevD.91.054004},
journal = {Physical Review D},
number = 5,
volume = 91,
place = {United States},
year = 2015,
month = 3

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.91.054004

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Cited by: 11works
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  • We consider the Schroedinger problem for a Coulomb plus short-range interaction with complex coupling parameter lambda, and we study the poles of the T operator for such a potential as functions of lambda. The trajectories of these poles in the complex plane are to a great extent determined by saddle points. Assuming that the short-range interaction is separable, we derive accurate asymptotic formulas for the infinite number of saddle points and for the associated critical values of lambda. In the particular case of the Coulomb plus Yamaguchi potential we obtain excellent agreement with previously published purely numerical results.
  • One proposal for dS/CFT is that the Hartle-Hawking (HH) wave function in the large volume limit is equal to the partition function of a Euclidean CFT deformed by various operators. All saddle points defining the semiclassical HH wave function in cosmology have a representation in which their interior geometry is part of a Euclidean AdS domain wall with complex matter fields. We compute the wave functions of scalar and tensor perturbations around homogeneous isotropic complex saddle points, turning on single scalar field matter only. We compare their predictions for the spectra of CMB perturbations with those of a different dS/CFTmore » proposal based on the analytic continuation of inflationary universes to real asymptotically AdS domain walls. We find the predictions of both bulk calculations agree to first order in the slow roll parameters, but there is a difference at higher order which, we argue, is a signature of the HH state of the fluctuations.« less
  • In this paper, the concept of a generalized ignition contour map, is extended to the realistic case of a plasma with temperature and density profiles in order to study access to ignition in a tokamak reactor. The generalized saddle point is found to lie between the Lawson and ignition conditions. If the height of the operation path with Goldston L-mode scaling is higher than the generalized saddle point, a reactor can reach ignition with this scaling for the case with no confinement degradation effect due to alpha-particle heating. In this sense, the saddle point given in a general form ismore » a new criterion for reaching ignition. Peaking the profiles for the plasma temperature and density can lower the height of the generalized saddle point and help a reactor to reach ignition. With this in mind, the authors can judge whether next-generation tokamaks, such as Compact Ignition Tokamak, Tokamak Ignition/Burn Experimental Reactor, Next European Torus, Fusion Experimental Reactor, International Tokamak Reactor, and AC Tokamak Reactor, can reach ignition with realistic profile parameters and an L-mode scaling law.« less
  • We present a detailed ab initio study of the effect that the Born–Oppenheimer diagonal correction (BODC) has on the saddle point properties of the H3 system and its isotopomers. Benchmark values are presented that are estimated to be within 0.1 cm–1 of the complete configuration interaction limit. We consider the basis set and correlation treatment requirements for accurate BODC calculations, and both are observed to be more favorable than for the Born–Oppenheimer energies. The BODC raises the H + H2 barrier height by 0.1532 kcal/mol and slightly narrows the barrier—with the imaginary frequency increasing by ~2%.