NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE
GRAVITY ACTION IN STÜCKELBERG FORMALISM

J 2013

NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM

KLUSOŇ, Josef

Základní údaje

Originální název

NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM

Název česky

Poznámka týkající se hamiltonovského formalismu u nelineární hmotné gravitace ve Stuckelbegově formalismu

Autoři

KLUSOŇ, Josef (203 Česká republika, garant, domácí)

Vydání

International Journal of Modern Physics A (IJMPA), Singapore, World Scientific, 2013, 0217-751X

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10301 Atomic, molecular and chemical physics

Stát vydavatele

Singapur

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 1.086

Kód RIV

RIV/00216224:14310/13:00066698

Organizační jednotka

Přírodovědecká fakulta

DOI

https://doi.org/10.1142/S0217751X13501601

UT WoS

000329056700010

Klíčová slova česky

Hamiltonovský formalism; hmotná gravitace

Klíčová slova anglicky

Hamiltonian formalism; massive gravity

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 29. 4. 2014 14:44, Ing. Zdeňka Rašková

Anotace

ORIG CZ

V originále

In this paper, we try to prove the absence of the ghosts in case of the general nonlinear massive gravity action in Stückelberg formalism. We argue that in order to find the explicit form of the Hamiltonian it is natural to start with the general nonlinear massive gravity action [S. F. Hassan and R. A. Rosen, Phys. Rev. Lett.108, 041101 (2012), arXiv:1106.3344 [hep-th]]. We perform the complete Hamiltonian analysis of the Stückelberg form of the minimal the nonlinear gravity action in this formulation and show that the constraint structure is so rich that it is possible to eliminate nonphysical modes. Then, we extend this analysis to the case of the general nonlinear massive gravity action. We find the corresponding Hamiltonian and collection of the primary constraints. Unfortunately we are not able to finish the complete analysis of the stability of all constraints due to the complex form of one primary constraint so that we are not able to determine the conditions under which given constraint is preserved during the time evolution of the system.

Česky

Cílem tohoto článku je dokázat absenci duchových plí v případě nelineární hmotné gravitace napsané pomocí Stuckelbergova formalismu. Provedeme kompletní hamiltonovskou analýzu a najdeme primární podmínku, která je důležitá pro eliminace duchového modu.

Návaznosti

GBP201/12/G028, projekt VaV

Název: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Grantová agentura ČR, Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Citovat

KLUSOŇ, Josef. NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM. International Journal of Modern Physics A (IJMPA). Singapore: World Scientific, 2013, roč. 28, č. 30, s. 1350160-1350175. ISSN 0217-751X. Dostupné z: https://doi.org/10.1142/S0217751X13501601.

@article{1138954,
   author = {Klusoň, Josef},
   article_location = {Singapore},
   article_number = {30},
   doi = {https://doi.org/10.1142/S0217751X13501601},
   keywords = {Hamiltonian formalism; massive gravity},
   language = {eng},
   issn = {0217-751X},
   journal = {International Journal of Modern Physics A (IJMPA)},
   title = {NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM},
   volume = {28},
   year = {2013}
}

TY  - JOUR
ID  - 1138954
AU  - Klusoň, Josef
PY  - 2013
TI  - NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM
JF  - International Journal of Modern Physics A (IJMPA)
VL  - 28
IS  - 30
SP  - 1350160
EP  - 1350160
PB  - World Scientific
SN  - 0217751X
KW  - Hamiltonian formalism
KW  - massive gravity
N2  - In this paper, we try to prove the absence of the ghosts in case of the general nonlinear massive gravity action in Stückelberg formalism. We argue that in order to find the explicit form of the Hamiltonian it is natural to start with the general nonlinear massive gravity action [S. F. Hassan and R. A. Rosen, Phys. Rev. Lett.108, 041101 (2012), arXiv:1106.3344 [hep-th]]. We perform the complete Hamiltonian analysis of the Stückelberg form of the minimal the nonlinear gravity action in this formulation and show that the constraint structure is so rich that it is possible to eliminate nonphysical modes. Then, we extend this analysis to the case of the general nonlinear massive gravity action. We find the corresponding Hamiltonian and collection of the primary constraints. Unfortunately we are not able to finish the complete analysis of the stability of all constraints due to the complex form of one primary constraint so that we are not able to determine the conditions under which given constraint is preserved during the time evolution of the system.
ER  -

KLUSOŇ, Josef. NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM. \textit{International Journal of Modern Physics A (IJMPA)}. Singapore: World Scientific, 2013, roč.~28, č.~30, s.~1350160-1350175. ISSN~0217-751X. Dostupné z: https://doi.org/10.1142/S0217751X13501601.

Přehled o publikaci