FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2052806667> ?p ?o ?g. }

• W2052806667 abstract "We perform a numerical study of ghost condensation---in the so-called Overhauser channel---for $SU(2)$ lattice gauge theory in minimal Landau gauge. The off-diagonal components of the momentum-space ghost propagator ${G}^{cd}(p)$ are evaluated for lattice volumes $V={8}^{4}$, ${12}^{4}$, ${16}^{4}$, ${20}^{4}$, ${24}^{4}$ and for three values of the lattice coupling: $ensuremath{beta}=2.2$, $2.3$, $2.4$. Our data show that the quantity ${ensuremath{phi}}^{b}(p)={ϵ}^{bcd}{G}^{cd}(p)/2$ is zero within error bars, being characterized by very large statistical fluctuations. On the contrary, $|{ensuremath{phi}}^{b}(p)|$ has relatively small error bars and behaves at small momenta as ${L}^{ensuremath{-}2}{p}^{ensuremath{-}z}$, where $L$ is the lattice side in physical units and $zensuremath{approx}4$. We argue that the large fluctuations for ${ensuremath{phi}}^{b}(p)$ come from spontaneous breaking of a global symmetry and are associated with ghost condensation. It may thus be necessary (in numerical simulations at finite volume) to consider $|{ensuremath{phi}}^{b}(p)|$ instead of ${ensuremath{phi}}^{b}(p)$, to avoid a null average due to tunneling between different broken vacua. Also, we show that ${ensuremath{phi}}^{b}(p)$ is proportional to the Fourier-transformed gluon field components ${stackrel{texttildelow{}}{A}}_{ensuremath{mu}}^{b}(q)$. This explains the ${L}^{ensuremath{-}2}$ dependence of $|{ensuremath{phi}}^{b}(p)|$, as induced by the behavior of $|{stackrel{texttildelow{}}{A}}_{ensuremath{mu}}^{b}(q)|$. We fit our data for $|{ensuremath{phi}}^{b}(p)|$ to the theoretical prediction $(r/{L}^{2}+v)/({p}^{4}+{v}^{2})$, obtaining for the ghost condensate $v$ an upper bound of about $0.058text{ }text{ }{mathrm{GeV}}^{2}$. In order to check if $v$ is nonzero in the continuum limit, one probably needs numerical simulations at much larger physical volumes than the ones we consider. As a by-product of our analysis, we perform a careful study of the color structure of the inverse Faddeev-Popov matrix in momentum space." @default.
• W2052806667 created "2016-06-24" @default.
• W2052806667 creator A5025906462 @default.
• W2052806667 creator A5069172551 @default.
• W2052806667 creator A5086914121 @default.
• W2052806667 date "2005-11-09" @default.
• W2052806667 modified "2023-09-27" @default.
• W2052806667 title "Ghost condensation on the lattice" @default.
• W2052806667 cites W1482438905 @default.
• W2052806667 cites W1578200046 @default.
• W2052806667 cites W1587046379 @default.
• W2052806667 cites W1605113314 @default.
• W2052806667 cites W1728319323 @default.
• W2052806667 cites W1772452113 @default.
• W2052806667 cites W1965784414 @default.
• W2052806667 cites W1974986660 @default.
• W2052806667 cites W1977613585 @default.
• W2052806667 cites W1979510401 @default.
• W2052806667 cites W1983111236 @default.
• W2052806667 cites W1983368842 @default.
• W2052806667 cites W1984708241 @default.
• W2052806667 cites W1994667338 @default.
• W2052806667 cites W1994960118 @default.
• W2052806667 cites W1995630575 @default.
• W2052806667 cites W1996291089 @default.
• W2052806667 cites W1998620850 @default.
• W2052806667 cites W1998702920 @default.
• W2052806667 cites W2001790848 @default.
• W2052806667 cites W2003133813 @default.
• W2052806667 cites W2014437371 @default.
• W2052806667 cites W2015863550 @default.
• W2052806667 cites W2021589183 @default.
• W2052806667 cites W2021984131 @default.
• W2052806667 cites W2022155795 @default.
• W2052806667 cites W2023988382 @default.
• W2052806667 cites W2026708776 @default.
• W2052806667 cites W2026808114 @default.
• W2052806667 cites W2027714278 @default.
• W2052806667 cites W2029301184 @default.
• W2052806667 cites W2029830411 @default.
• W2052806667 cites W2031626214 @default.
• W2052806667 cites W2032451690 @default.
• W2052806667 cites W2036236786 @default.
• W2052806667 cites W2038584293 @default.
• W2052806667 cites W2038909511 @default.
• W2052806667 cites W2039317061 @default.
• W2052806667 cites W2041523929 @default.
• W2052806667 cites W2051138304 @default.
• W2052806667 cites W2053255079 @default.
• W2052806667 cites W2056564691 @default.
• W2052806667 cites W2057816920 @default.
• W2052806667 cites W2058699890 @default.
• W2052806667 cites W2060692365 @default.
• W2052806667 cites W2068988473 @default.
• W2052806667 cites W2069240416 @default.
• W2052806667 cites W2076806830 @default.
• W2052806667 cites W2082727977 @default.
• W2052806667 cites W2085721523 @default.
• W2052806667 cites W2087276725 @default.
• W2052806667 cites W2088101975 @default.
• W2052806667 cites W2091422806 @default.
• W2052806667 cites W2096546925 @default.
• W2052806667 cites W2097343631 @default.
• W2052806667 cites W2101441027 @default.
• W2052806667 cites W2113838300 @default.
• W2052806667 cites W2124402457 @default.
• W2052806667 cites W2142116440 @default.
• W2052806667 cites W2143355090 @default.
• W2052806667 cites W2148384901 @default.
• W2052806667 cites W2158164606 @default.
• W2052806667 cites W2168748091 @default.
• W2052806667 cites W2230110036 @default.
• W2052806667 cites W2291978477 @default.
• W2052806667 cites W2322266875 @default.
• W2052806667 cites W2466335572 @default.
• W2052806667 cites W2592927285 @default.
• W2052806667 cites W2953259908 @default.
• W2052806667 cites W2991751674 @default.
• W2052806667 cites W3098274936 @default.
• W2052806667 cites W3098536656 @default.
• W2052806667 cites W3099275722 @default.
• W2052806667 cites W3099449553 @default.
• W2052806667 cites W3099759131 @default.
• W2052806667 cites W3100300875 @default.
• W2052806667 cites W3100769449 @default.
• W2052806667 cites W3102525253 @default.
• W2052806667 cites W3103883648 @default.
• W2052806667 cites W3105183918 @default.
• W2052806667 cites W3105378581 @default.
• W2052806667 cites W3106306237 @default.
• W2052806667 cites W3122358678 @default.
• W2052806667 cites W3122844728 @default.
• W2052806667 cites W3125197671 @default.
• W2052806667 cites W3125833814 @default.
• W2052806667 cites W394069554 @default.
• W2052806667 cites W4298367752 @default.
• W2052806667 cites W4300351786 @default.
• W2052806667 doi "https://doi.org/10.1103/physrevd.72.094505" @default.
• W2052806667 hasPublicationYear "2005" @default.
• W2052806667 type Work @default.

• next