Emergence of Temperature in Examples and Related Nuisances in Field Theory

  • Tamás Sándor Biró
  • Antal Jakovác

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-x
  2. Tamás Sándor Biró, Antal Jakovác
    Pages 1-18
  3. Tamás Sándor Biró, Antal Jakovác
    Pages 19-34
  4. Tamás Sándor Biró, Antal Jakovác
    Pages 35-50
  5. Tamás Sándor Biró, Antal Jakovác
    Pages 51-59
  6. Tamás Sándor Biró, Antal Jakovác
    Pages 61-84
  7. Tamás Sándor Biró, Antal Jakovác
    Pages 85-108
  8. Back Matter
    Pages 109-109

About this book


Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face. One such challenge is to understand the emergence of complexity in the behavior of interacting elementary fields, including among other things nontrivial phase structures of elementary matter at high energy density or an atypical emergence of statistical properties, e.g., when an apparent temperature is proportional to a constant acceleration in a homogeneous gravitational field. 

Most modern textbooks on thermal field theory are mainly concerned with how the field theory formalism should be used if a finite temperature is given. In contrast, this short primer explores how the phenomenon of temperature emerges physically for elementary fields - inquiring about the underlying kinetic field theory and the way energy fluctuations and other noise should be handled - and it investigates whether and how this harmonizes with traditional field theory concepts like spectral evolution, the Keldysh formalism, and phase transitions.


Unruh effect Thermal spectrum of particle excitations Hagedorn temperature Thermal field theory Phase transitions in complex systems

Authors and affiliations

  • Tamás Sándor Biró
    • 1
  • Antal Jakovác
    • 2
  1. 1.H.A.S. Wigner Research Centre for PhysicsBudapestHungary
  2. 2.Institute of PhysicsRoland Eötvös UniversityBudapestHungary

Bibliographic information

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