Unified formalism for Thermal Quantum Field Theories: A geometric viewpoint

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00328110" target="_blank" >RIV/68407700:21340/18:00328110 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.aop.2018.08.009" target="_blank" >http://dx.doi.org/10.1016/j.aop.2018.08.009</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aop.2018.08.009" target="_blank" >10.1016/j.aop.2018.08.009</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Unified formalism for Thermal Quantum Field Theories: A geometric viewpoint

Popis výsledku v původním jazyce

In this paper we study a unified formalism for Thermal Quantum Field Theories, i.e., for the Matsubara approach, Thermo Field Dynamics and the Path Ordered Method. To do so, we employ a mechanism akin to the Hawking effect which explores a relationship between the concept of temperature and spacetimes endowed with event-horizons. In particular, we consider an eight dimensional static spacetime, the so-called eta-xi spacetime, which we show to form an appropriate geometric background for generic Thermal Quantum Field Theories. Within this framework, the different formalisms of Thermal Field Theory are unified in a very natural way via various analytical continuations and the set of time-paths used in the Path Ordered Method is interpreted in geometric terms. We also explain reported inconsistencies inherent in the Thermo Field Dynamics through the appearance of horizons (and ensuing loss of information) in the eta-xi spacetime. (C) 2018 Elsevier Inc. All rights reserved.

Název v anglickém jazyce

Unified formalism for Thermal Quantum Field Theories: A geometric viewpoint

Popis výsledku anglicky

In this paper we study a unified formalism for Thermal Quantum Field Theories, i.e., for the Matsubara approach, Thermo Field Dynamics and the Path Ordered Method. To do so, we employ a mechanism akin to the Hawking effect which explores a relationship between the concept of temperature and spacetimes endowed with event-horizons. In particular, we consider an eight dimensional static spacetime, the so-called eta-xi spacetime, which we show to form an appropriate geometric background for generic Thermal Quantum Field Theories. Within this framework, the different formalisms of Thermal Field Theory are unified in a very natural way via various analytical continuations and the set of time-paths used in the Path Ordered Method is interpreted in geometric terms. We also explain reported inconsistencies inherent in the Thermo Field Dynamics through the appearance of horizons (and ensuing loss of information) in the eta-xi spacetime. (C) 2018 Elsevier Inc. All rights reserved.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

<a href="/cs/project/GF17-33812L" target="_blank" >GF17-33812L: Informačně-teoretický přístup ke komplexním dynamickým systémům</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

1096-035X

Svazek periodika

397

Číslo periodika v rámci svazku

Oct

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

21

Strana od-do

213-233

Kód UT WoS článku

000447962400007

EID výsledku v databázi Scopus

2-s2.0-85052996320