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- W4320040164 abstract "In the tensorial group field theory (TGFT) approach to quantum gravity, the basic quanta of the theory correspond to discrete building blocks of geometry. It is expected that their collective dynamics gives rise to continuum spacetime at a coarse grained level, via a process involving a phase transition. In this work we show for the first time how phase transitions for realistic TGFT models can be realized using Landau-Ginzburg mean-field theory. More precisely, we consider models generating 4-dimensional Lorentzian triangulations formed by spacelike tetrahedra whose quantum geometry is encoded in non-local degrees of freedom on the non-compact group $mathrm{SL}(2,mathbb{C})$ and subject to gauge and simplicity constraints. Further we include $mathbb{R}$-valued variables which may be interpreted as discretized scalar fields typically employed as a matter reference frame. We apply the Ginzburg criterion finding that fluctuations around the non-vanishing mean-field vacuum remain small at large correlation lengths regardless of the combinatorics of the non-local interaction validating the mean-field theory description of the phase transition. This work represents a first crucial step to understand phase transitions in compelling TGFT models for quantum gravity and paves the way for a more complete analysis via functional renormalization group techniques. Moreover, it supports the recent extraction of effective cosmological dynamics from TGFTs in the context of a mean-field approximation." @default.
- W4320040164 created "2023-02-12" @default.
- W4320040164 creator A5018067168 @default.
- W4320040164 creator A5024318610 @default.
- W4320040164 creator A5027941269 @default.
- W4320040164 creator A5033202388 @default.
- W4320040164 date "2023-02-07" @default.
- W4320040164 modified "2023-09-26" @default.
- W4320040164 title "Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models" @default.
- W4320040164 cites W1525743445 @default.
- W4320040164 cites W1531472254 @default.
- W4320040164 cites W1536862424 @default.
- W4320040164 cites W1576436169 @default.
- W4320040164 cites W1598641057 @default.
- W4320040164 cites W1602411989 @default.
- W4320040164 cites W1652486389 @default.
- W4320040164 cites W1847944825 @default.
- W4320040164 cites W1870256614 @default.
- W4320040164 cites W1892017344 @default.
- W4320040164 cites W1896803414 @default.
- W4320040164 cites W1965001977 @default.
- W4320040164 cites W1970291198 @default.
- W4320040164 cites W1974265146 @default.
- W4320040164 cites W1988976087 @default.
- W4320040164 cites W1997044491 @default.
- W4320040164 cites W2006611914 @default.
- W4320040164 cites W2009901297 @default.
- W4320040164 cites W2010357160 @default.
- W4320040164 cites W2010434136 @default.
- W4320040164 cites W2013684061 @default.
- W4320040164 cites W2014347841 @default.
- W4320040164 cites W2014993741 @default.
- W4320040164 cites W2024285995 @default.
- W4320040164 cites W2024804741 @default.
- W4320040164 cites W2028182700 @default.
- W4320040164 cites W2038076545 @default.
- W4320040164 cites W2041132213 @default.
- W4320040164 cites W2041972128 @default.
- W4320040164 cites W2047460393 @default.
- W4320040164 cites W2052000523 @default.
- W4320040164 cites W2055447802 @default.
- W4320040164 cites W2056712857 @default.
- W4320040164 cites W2064559964 @default.
- W4320040164 cites W2068634430 @default.
- W4320040164 cites W2069490110 @default.
- W4320040164 cites W2070707213 @default.
- W4320040164 cites W2073311512 @default.
- W4320040164 cites W2078670594 @default.
- W4320040164 cites W2079994329 @default.
- W4320040164 cites W2081275539 @default.
- W4320040164 cites W2092692149 @default.
- W4320040164 cites W2100271681 @default.
- W4320040164 cites W2125490099 @default.
- W4320040164 cites W2140333031 @default.
- W4320040164 cites W2161172182 @default.
- W4320040164 cites W2171017579 @default.
- W4320040164 cites W2174603973 @default.
- W4320040164 cites W2220125202 @default.
- W4320040164 cites W2262198343 @default.
- W4320040164 cites W2280166450 @default.
- W4320040164 cites W2340298049 @default.
- W4320040164 cites W2411163321 @default.
- W4320040164 cites W2504258594 @default.
- W4320040164 cites W2522845464 @default.
- W4320040164 cites W2571121868 @default.
- W4320040164 cites W2588843019 @default.
- W4320040164 cites W2749909823 @default.
- W4320040164 cites W2753330878 @default.
- W4320040164 cites W2791344361 @default.
- W4320040164 cites W2800479917 @default.
- W4320040164 cites W2810961406 @default.
- W4320040164 cites W2893306680 @default.
- W4320040164 cites W2904241844 @default.
- W4320040164 cites W2951841571 @default.
- W4320040164 cites W2955146520 @default.
- W4320040164 cites W2963056456 @default.
- W4320040164 cites W2964348647 @default.
- W4320040164 cites W2990695868 @default.
- W4320040164 cites W3000479535 @default.
- W4320040164 cites W3034337694 @default.
- W4320040164 cites W3037354773 @default.
- W4320040164 cites W3047698532 @default.
- W4320040164 cites W3049262741 @default.
- W4320040164 cites W3089640782 @default.
- W4320040164 cites W3092882822 @default.
- W4320040164 cites W3094677548 @default.
- W4320040164 cites W3098116320 @default.
- W4320040164 cites W3098118388 @default.
- W4320040164 cites W3098759374 @default.
- W4320040164 cites W3099208206 @default.
- W4320040164 cites W3099487252 @default.
- W4320040164 cites W3100043208 @default.
- W4320040164 cites W3100843268 @default.
- W4320040164 cites W3100956276 @default.
- W4320040164 cites W3101038174 @default.
- W4320040164 cites W3101097204 @default.
- W4320040164 cites W3101297073 @default.
- W4320040164 cites W3101718537 @default.
- W4320040164 cites W3101859592 @default.
- W4320040164 cites W3102193425 @default.