Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313251007> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W4313251007 abstract "The scalar field theory with potential $V(ensuremath{varphi})=frac{1}{2}{m}^{2}{ensuremath{varphi}}^{2}ensuremath{-}frac{1}{4}g{ensuremath{varphi}}^{4}$ ($g>0$) is ill defined as a Hermitian theory but in a non-Hermitian $mathcal{P}mathcal{T}$-symmetric framework it is well defined, and it has a positive real energy spectrum for the case of spacetime dimension $D=1$. While the methods used in the literature do not easily generalize to quantum field theory, in this paper the path-integral representation of a $mathcal{P}mathcal{T}$-symmetric $ensuremath{-}g{ensuremath{varphi}}^{4}$ theory is shown to provide a unified formulation for general $D$. A new conjectural relation between the Euclidean partition functions ${Z}^{mathcal{P}mathcal{T}}(g)$ of the non-Hermitian $mathcal{P}mathcal{T}$-symmetric theory and ${Z}_{text{Herm}}(ensuremath{lambda})$ of the $ensuremath{lambda}{ensuremath{varphi}}^{4}$ ($ensuremath{lambda}>0$) Hermitian theory is proposed: $mathrm{log}{Z}^{mathcal{P}mathcal{T}}(g)=frac{1}{2}mathrm{log}{Z}_{text{Herm}}(ensuremath{-}g+mathrm{i}{0}^{+})+frac{1}{2}mathrm{log}{Z}_{text{Herm}}(ensuremath{-}gensuremath{-}mathrm{i}{0}^{+})$. This relation ensures a real energy spectrum for the non-Hermitian $mathcal{P}mathcal{T}$-symmetric $ensuremath{-}g{ensuremath{varphi}}^{4}$ field theory. A closely related relation is rigorously valid in $D=0$. For $D=1$, using a semiclassical evaluation of ${Z}^{mathcal{P}mathcal{T}}(g)$, this relation is verified by comparing the imaginary parts of the ground-state energy ${E}_{0}^{mathcal{P}mathcal{T}}(g)$ (before cancellation) and ${E}_{0,mathrm{Herm}}(ensuremath{-}gifmmodepmelsetextpmfi{}mathrm{i}{0}^{+})$." @default.
- W4313251007 created "2023-01-06" @default.
- W4313251007 creator A5008572292 @default.
- W4313251007 creator A5026114820 @default.
- W4313251007 creator A5076612078 @default.
- W4313251007 date "2022-12-27" @default.
- W4313251007 modified "2023-09-30" @default.
- W4313251007 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi mathvariant=script>P</mml:mi><mml:mi mathvariant=script>T</mml:mi></mml:mrow></mml:math> -symmetric <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mo>−</mml:mo><mml:mi>g</mml:mi><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> theory" @default.
- W4313251007 cites W1576976263 @default.
- W4313251007 cites W1629285415 @default.
- W4313251007 cites W1977138699 @default.
- W4313251007 cites W1988642620 @default.
- W4313251007 cites W2019050895 @default.
- W4313251007 cites W2037315394 @default.
- W4313251007 cites W2040246371 @default.
- W4313251007 cites W2048886021 @default.
- W4313251007 cites W2067123857 @default.
- W4313251007 cites W2067757909 @default.
- W4313251007 cites W2085793749 @default.
- W4313251007 cites W2089540057 @default.
- W4313251007 cites W2135782773 @default.
- W4313251007 cites W2156896064 @default.
- W4313251007 cites W2176678191 @default.
- W4313251007 cites W2589911045 @default.
- W4313251007 cites W2590065924 @default.
- W4313251007 cites W2610043059 @default.
- W4313251007 cites W2730756150 @default.
- W4313251007 cites W2804339669 @default.
- W4313251007 cites W2885739817 @default.
- W4313251007 cites W2898798765 @default.
- W4313251007 cites W2914592492 @default.
- W4313251007 cites W2944554698 @default.
- W4313251007 cites W2950402400 @default.
- W4313251007 cites W2950611081 @default.
- W4313251007 cites W2980044547 @default.
- W4313251007 cites W2991361286 @default.
- W4313251007 cites W3006866978 @default.
- W4313251007 cites W3014883256 @default.
- W4313251007 cites W3015251568 @default.
- W4313251007 cites W3016107751 @default.
- W4313251007 cites W3029785548 @default.
- W4313251007 cites W3035284748 @default.
- W4313251007 cites W3037517371 @default.
- W4313251007 cites W3037762229 @default.
- W4313251007 cites W3095750609 @default.
- W4313251007 cites W3122184121 @default.
- W4313251007 cites W3123297147 @default.
- W4313251007 cites W3137991257 @default.
- W4313251007 cites W3209736909 @default.
- W4313251007 cites W3213225014 @default.
- W4313251007 cites W4230436354 @default.
- W4313251007 cites W4231682458 @default.
- W4313251007 cites W4237351959 @default.
- W4313251007 doi "https://doi.org/10.1103/physrevd.106.125016" @default.
- W4313251007 hasPublicationYear "2022" @default.
- W4313251007 type Work @default.
- W4313251007 citedByCount "5" @default.
- W4313251007 countsByYear W43132510072023 @default.
- W4313251007 crossrefType "journal-article" @default.
- W4313251007 hasAuthorship W4313251007A5008572292 @default.
- W4313251007 hasAuthorship W4313251007A5026114820 @default.
- W4313251007 hasAuthorship W4313251007A5076612078 @default.
- W4313251007 hasBestOaLocation W43132510071 @default.
- W4313251007 hasConcept C114614502 @default.
- W4313251007 hasConcept C121332964 @default.
- W4313251007 hasConcept C186370098 @default.
- W4313251007 hasConcept C33923547 @default.
- W4313251007 hasConcept C37914503 @default.
- W4313251007 hasConcept C62520636 @default.
- W4313251007 hasConcept C94940 @default.
- W4313251007 hasConceptScore W4313251007C114614502 @default.
- W4313251007 hasConceptScore W4313251007C121332964 @default.
- W4313251007 hasConceptScore W4313251007C186370098 @default.
- W4313251007 hasConceptScore W4313251007C33923547 @default.
- W4313251007 hasConceptScore W4313251007C37914503 @default.
- W4313251007 hasConceptScore W4313251007C62520636 @default.
- W4313251007 hasConceptScore W4313251007C94940 @default.
- W4313251007 hasFunder F4320306164 @default.
- W4313251007 hasFunder F4320308269 @default.
- W4313251007 hasFunder F4320334627 @default.
- W4313251007 hasIssue "12" @default.
- W4313251007 hasLocation W43132510071 @default.
- W4313251007 hasLocation W43132510072 @default.
- W4313251007 hasLocation W43132510073 @default.
- W4313251007 hasOpenAccess W4313251007 @default.
- W4313251007 hasPrimaryLocation W43132510071 @default.
- W4313251007 hasRelatedWork W2026168617 @default.
- W4313251007 hasRelatedWork W2043930649 @default.
- W4313251007 hasRelatedWork W2084143801 @default.
- W4313251007 hasRelatedWork W2128601187 @default.
- W4313251007 hasRelatedWork W2130964843 @default.
- W4313251007 hasRelatedWork W2319613939 @default.
- W4313251007 hasRelatedWork W2618663103 @default.
- W4313251007 hasRelatedWork W2861702156 @default.
- W4313251007 hasRelatedWork W3102427995 @default.
- W4313251007 hasRelatedWork W4295245806 @default.
- W4313251007 hasVolume "106" @default.
- W4313251007 isParatext "false" @default.
- W4313251007 isRetracted "false" @default.
- W4313251007 workType "article" @default.