Finite-temperature corrections in the dilated chiral quark model

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We calculate the finite-temperature corrections in the dilated chiral quark model using the effective potential formalism. Assuming that the dilaton limit is applicable at some short length scale, we interpret the results to represent the behavior of hadrons in dense and hot matter. We obtain the scaling law, f{sub {pi}}(T)/f{sub {pi}} = m{sub Q}(T)/m{sub Q} {approx_equal} m{sub {sigma}}(T)/m{sub {sigma}}while we argue, using PCAC, that pion mass does not scale within the temperature range involved in our Lagrangian. It is found that the hadron masses and the pion decay constant drop faster with temperature in the dilated chiral quark model than ... continued below

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18 p.

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Kim, Y.; Lee, Hyun Kyu & Rho, M. March 1, 1995.

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  • Kim, Y.
  • Lee, Hyun Kyu Washington Univ., Seattle, WA (United States). Inst. for Nuclear Theory
  • Rho, M. CEA Centre d`Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique

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Description

We calculate the finite-temperature corrections in the dilated chiral quark model using the effective potential formalism. Assuming that the dilaton limit is applicable at some short length scale, we interpret the results to represent the behavior of hadrons in dense and hot matter. We obtain the scaling law, f{sub {pi}}(T)/f{sub {pi}} = m{sub Q}(T)/m{sub Q} {approx_equal} m{sub {sigma}}(T)/m{sub {sigma}}while we argue, using PCAC, that pion mass does not scale within the temperature range involved in our Lagrangian. It is found that the hadron masses and the pion decay constant drop faster with temperature in the dilated chiral quark model than in the conventional linear sigma model that does not take into account the QCD scale anomaly. We attribute the difference in scaling in heat bath to the effect of baryonic medium on thermal properties of the hadrons. Our finding would imply that the AGS experiments (dense and hot matter) and the RHIC experiments (hot and dilute matter) will ``see`` different hadron properties in the hadronization exit phase.

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18 p.

Notes

INIS; OSTI as DE95012174

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  • Other Information: PBD: Mar 1995

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  • Other: DE95012174
  • Report No.: DOE/ER/40561--193
  • Grant Number: FG06-90ER40561
  • DOI: 10.2172/85044 | External Link
  • Office of Scientific & Technical Information Report Number: 85044
  • Archival Resource Key: ark:/67531/metadc788064

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Creation Date

  • March 1, 1995

Added to The UNT Digital Library

  • Dec. 3, 2015, 9:30 a.m.

Description Last Updated

  • June 27, 2016, 1:27 p.m.

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Kim, Y.; Lee, Hyun Kyu & Rho, M. Finite-temperature corrections in the dilated chiral quark model, report, March 1, 1995; United States. (digital.library.unt.edu/ark:/67531/metadc788064/: accessed December 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.