Hadrons at finite temperature / Samirnath Mallik, Saha Institute of Nuclear Physics, Sourav Sarkar, Variable Energy Cyclotron Center, Kolkata.

Author
Mallik, Samirnath [Browse]
Format
Book
Language
English
Published/​Created
Cambridge : Cambridge University Press, 2016.
Description
xiv, 250 pages : illustrations ; 26 cm.

Availability

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Lewis Library - Stacks QC793.5.H32 M35 2016 Browse related items Request

    Details

    Subject(s)
    Author
    Series
    Cambridge monographs on mathematical physics [More in this series]
    Summary note
    "High energy laboratories are performing experiments in heavy ion collisions to explore the structure of matter at high temperature and density. This elementary book explains the basic ideas involved in the theoretical analysis of these experimental data. It first develops two topics needed for this purpose, namely hadron interactions and thermal field theory. Chiral perturbation theory is developed to describe hadron interactions and thermal field theory is formulated in the real-time method. In particular, spectral form of thermal propagators is derived for fields of arbitrary spin and used to calculate loop integrals. These developments are then applied to find quark condensate and hadron parameters in medium, including dilepton production. Finally, the non-equilibrium method of statistical field theory to calculate transport coefficients is reviewed. With technical details explained in the text and appendices, this book should be accessible to researchers as well as graduate students interested in thermal field theory"-- Provided by publisher.
    Bibliographic references
    Includes bibliographical references and index.
    Contents
    • Free fields in vacuum
    • Spontaneous symmetry breaking
    • Chiral perturbation theory
    • Thermal propagators
    • Thermal Perturbation Theory
    • Two-loop results
    • Heavy ion collisions
    • Non-equilibrium processes.
    • Machine generated contents note: 1. Free Fields in Vacuum
    • 1.1. Generalities
    • 1.2. Scalar Field
    • 1.3. Dirac Field
    • 1.4. Vector Field
    • 1.5. Rarita--Schwinger Field
    • 1.6. General Fields
    • Problems
    • References
    • 2. Spontaneous Symmetry Breaking
    • 2.1. Linear σ-Models
    • 2.2. Goldstone Theorem (First Proof)
    • 2.3. Goldstone Theorem (Second Proof)
    • 2.4. Other Matrix Elements of Current
    • 2.5. Linear σ-Model Revisited
    • 2.6. Non-Linear σ-Model
    • 2.7. Effective Field Theories
    • 2.8. Approximate Symmetry
    • Problem
    • 3. Chiral Perturbation Theory
    • 3.1. Symmetries of Massless QCD
    • 3.2. Spontaneous Symmetry Breaking
    • 3.3. Transformation Rule
    • 3.4. Effective Lagrangian
    • 3.5. Power Counting
    • 3.6. Approximate Chiral Symmetry
    • 3.7. Results from Approximate Symmetry
    • 3.8. External Fields
    • 3.9. Fourth Order Effective Lagrangian
    • 3.10. One-Loop Results (Pions Only)
    • 3.11. Non-Goldstone Fields
    • 3.12. Nucleon Current Correlation Function
    • 3.13. Meson Current Correlation Functions
    • 4. Thermal Propagators
    • 4.1. Time Path
    • 4.2. Scalar Propagator
    • 4.3. Dirac Propagator
    • 4.4. Time-Ordered Spectral Representation
    • 4.5. Retarded Spectral Representation
    • 5. Thermal Perturbation Theory
    • 5.1. Matrix Structure
    • 5.2. Diagonalisation
    • 5.3. One-Loop Self-Energy (Scalar Fields)
    • 5.4. One-Loop Self-Energy (General Fields)
    • 6. Thermal Parameters
    • 6.1. Quark Condensate at Finite Temperature
    • 6.2. Pion at Non-Zero Temperature
    • 6.3. Nucleon at Finite Temperature
    • 6.4. ρ at Finite Temperature
    • 6.5. Nuclear Matter
    • 6.6. Comments
    • 7. Two-Loop Results
    • 7.1. Quark Condensate
    • 7.2. Pion Decay Rate
    • 7.3. Pion Mass and Coupling
    • 8. Heavy Ion Collisions
    • 8.1. Dilepton Production
    • 8.2. Analytic Structure
    • 8.3. Evaluation
    • 8.4. Comments
    • 9. Non-Equilibrium Processes
    • 9.1. Relativistic Hydrodynamics
    • 9.2. Phenomenological Energy-Momentum Tensor
    • 9.3. Non-Equilibrium Statistical Theory
    • 9.4. Statistical Energy-Momentum Tensor
    • 9.5. Transport Coefficients
    • 9.6. Evaluation
    • References.
    ISBN
    • 9781107145313 ((hardback))
    • 1107145317 ((hardback))
    LCCN
    2016032396
    OCLC
    952389240
    Other standard number
    • 40026685833
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