Djordje Bogdanović, Marija Dimitrijević Ćirić, Voja Radovanović, Richard J. Szabo, Guillaume Trojani
{"title":"Braided Scalar Quantum Field Theory","authors":"Djordje Bogdanović, Marija Dimitrijević Ćirić, Voja Radovanović, Richard J. Szabo, Guillaume Trojani","doi":"10.1002/prop.202400169","DOIUrl":"https://doi.org/10.1002/prop.202400169","url":null,"abstract":"<p>We formulate scalar field theories in a curved braided <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mi>∞</mi>\u0000 </msub>\u0000 <annotation>$L_infty$</annotation>\u0000 </semantics></math>-algebra formalism and analyse their correlation functions using Batalin–Vilkovisky quantization. We perform detailed calculations in cubic braided scalar field theory up to two-loop order and three-point multiplicity. The divergent tadpole contributions are eliminated by a suitable choice of central curvature for the <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mi>∞</mi>\u0000 </msub>\u0000 <annotation>$L_infty$</annotation>\u0000 </semantics></math>-structure, and we confirm the absence of UV/IR mixing. The calculations of higher loop and higher multiplicity correlators in homological perturbation theory are facilitated by the introduction of a novel diagrammatic calculus. We derive an algebraic version of the Schwinger–Dyson equations based on the homological perturbation lemma, and use them to prove the braided Wick theorem.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 11","pages":""},"PeriodicalIF":5.6,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142708398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Felix Finster, Niels G. Gresnigt, José M. Isidro, Antonino Marcianò, Claudio F. Paganini, Tejinder P. Singh
{"title":"Causal Fermion Systems and Octonions","authors":"Felix Finster, Niels G. Gresnigt, José M. Isidro, Antonino Marcianò, Claudio F. Paganini, Tejinder P. Singh","doi":"10.1002/prop.202400055","DOIUrl":"https://doi.org/10.1002/prop.202400055","url":null,"abstract":"<p>The authors compare the structures and methods in the theory of causal fermion systems with approaches to fundamental physics based on division algebras, in particular the octonions. It is found that octonions and, more generally, tensor products of division algebras come up naturally to describe the symmetries of the vacuum configuration of a causal fermion system. This is achieved by associating the real and imaginary octonion basis elements with the neutrino and charged sectors of the vacuum fermionic projector, respectively. Conversely, causal fermion systems provide octonionic theories with spacetime structures and dynamical equations via the causal action principle. In this way, octonionic theories and causal fermion systems complement each other.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 11","pages":""},"PeriodicalIF":5.6,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142708076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xavier Calmet, Elias Kiritsis, Folkert Kuipers, Dieter Lüst
{"title":"Matching the Vilkovisky–DeWitt Effective Action of Quantum Gravity to String Theory","authors":"Xavier Calmet, Elias Kiritsis, Folkert Kuipers, Dieter Lüst","doi":"10.1002/prop.202400176","DOIUrl":"https://doi.org/10.1002/prop.202400176","url":null,"abstract":"<p>In this work, the matching of the Vilkovisky–DeWitt effective action of quantum gravity is discussedwith an example of an ultra-violet complete theory of quantum gravity. The authors show how this matching enables a calculation of the local Wilson coefficients of the effective action. Several examples in string theory are provided. Moreover, the matching conditions within the context of the swampland program are discussed.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 12","pages":""},"PeriodicalIF":5.6,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202400176","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142869092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"F\u0000 (\u0000 Q\u0000 )\u0000 \u0000 $F(Q)$\u0000 Gravity with Gauss–Bonnet Corrections: From Early-Time Inflation to Late-Time Acceleration","authors":"Shin'ichi Nojiri, Sergei D. Odintsov","doi":"10.1002/prop.202400113","DOIUrl":"https://doi.org/10.1002/prop.202400113","url":null,"abstract":"<p>The authors show that in the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mo>(</mo>\u0000 <mi>Q</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$f(Q)$</annotation>\u0000 </semantics></math> gravity with a non-metricity scalar <span></span><math>\u0000 <semantics>\u0000 <mi>Q</mi>\u0000 <annotation>$Q$</annotation>\u0000 </semantics></math>, the curvatures in Einstein's gravity, that is, the Riemann curvature constructed from the standard Levi-Civita connection, could not be excluded or naturally appear. The first observation is that even in <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mo>(</mo>\u0000 <mi>Q</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$f(Q)$</annotation>\u0000 </semantics></math> gravity, the conservation of the matter energy-momentum tensor is not described by the covariant derivatives in the non-metricity gravity but that is given by the Levi-Civita connection. The commutator of the covariant derivatives in Einstein's gravity inevitably induces the Riemann curvature. There is no symmetry nor principle which prohibits the Riemann curvature in non-metricity gravity. Based on this observation, the authors propose and investigate <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mfenced>\u0000 <mi>Q</mi>\u0000 <mo>,</mo>\u0000 <mi>G</mi>\u0000 </mfenced>\u0000 </mrow>\u0000 <annotation>$fleft(Q, mathcal {G} right)$</annotation>\u0000 </semantics></math> gravity with the Gauss–Bonnet invariant <span></span><math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$mathcal {G}$</annotation>\u0000 </semantics></math> and its generalizations. The authors also show how <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mfenced>\u0000 <mi>Q</mi>\u0000 <mo>,</mo>\u0000 <mi>G</mi>\u0000 </mfenced>\u0000 </mrow>\u0000 <annotation>$fleft(Q, mathcal {G} right)$</annotation>\u0000 </semantics></math> models realizing any given the Friedmann–Lemaître–Robertson– Walker (FLRW) spacetime can be reconstructed. The reconstruction formalism to cosmology is applied. Explicitly, the gravity models which realize slow roll or constant roll inflation, dark energy epoch as well as the unification of the inflation and dark energy are found. The dynamical autonomous system and the gravitational wave in the theory under investigation are discussed. It is found the condition that the de Sitter spacetime becomes the (stable) fixed point of the system.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 9-10","pages":""},"PeriodicalIF":5.6,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142430154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}