A. Shojaei-Fard, Is quantum field theory necessarily "quantum"?, Quantum Reports, accepted for publication, 2025.
A. Shojaei-Fard, The "zero charge problem" via graphon processes, Complex Analysis and Operator Theory, Volume 19, Issue 6, article number: 168, 53 pages, 2025. Springer Nature SharedIt
A. Shojaei-Fard, Quantum integrability via renormalization, Communications in Theoretical Physics, Vol. 78, Number 1, paper number: 015003, 12 pages, 2026.
A. Shojaei-Fard, Renormalization of unbounded stretched graphons, Open Journal of Mathematical Analysis, Vol.9, Issue 2, 193--213, 2025.
A. Shojaei-Fard, Renormalization bi-Heyting algebra, Journal of Applied Analysis, First Online, 18 pp, 2025.
A. Shojaei-Fard, Subsystems via quantum motions, Analysis and Mathematical Physics, Vol. 14, Issue 3, article number 61, 36 pages, 2024. Springer Nature SharedIt
A. Shojaei-Fard, Graph polynomials associated with Dyson--Schwinger equations, Mathematica Moravica, Vol. 27, No. 2, 91--114, 2023. MPIM Depository Library
A. Shojaei-Fard, A statistical mechanical model for non-perturbative regimes, Nuclear Physics B, Vol. 991, paper number: 116220, 24 pages, 2023. SCOAP3 Repository
A. Shojaei-Fard, Kontsevich graphons, Kragujevac Journal of Mathematics, Vol. 47(2), 213--228, 2023.
A. Shojaei-Fard, Non-perturbative topos and its application, Romanian Journal of Pure and Applied Mathematics (Revue Roumaine de Mathematiques Pures et Appliquees), Vol. 68, No. 3--4, 329--345, 2023. MPIM Depository Library
A. Shojaei-Fard, From Dyson--Schwinger equations to quantum entanglement, Journal of Mathematical Sciences, Vol. 266, Issue 6, 892--916, 2022. Springer Nature SharedIt MPIM Depository Library
A. Shojaei-Fard, Non-perturbative graph languages, halting problem and complexity, Forum Mathematicum, Vol. 34, Issue 5, 1159--1185, 2022. Preprint version
A. Shojaei-Fard, Halting problem in Feynman graphon processes derived from the renormalization Hopf algebra, Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science, Vol. 2(64), No 1, 139--158, 2022.
A. Shojaei-Fard, The complexities of nonperturbative computations, Russian Journal of Mathematical Physics, Vol. 28, No. 3, 358--376, 2021. Springer Nature SharedIt MPIM Depository Library
A. Shojaei-Fard, The dynamics of non-perturbative phases via Banach bundles, Nuclear Physics B, Vol. 969, paper number: 115478, 39 pages, 2021. SCOAP3 Repository
A. Shojaei-Fard, The analytic evolution of Dyson--Schwinger equations via homomorphism densities, Mathematical Physics, Analysis and Geometry, Vol. 24, Issue 2, article number 18, 28 pages, 2021. Springer Nature SharedIt
A. Shojaei-Fard, Graphon models in quantum physics, IHES Preprint: IHES/M/20/03, 2020.
A. Shojaei-Fard, Formal aspects of non-perturbative Quantum Field Theory via an operator theoretic setting, International Journal of Geometric Methods in Modern Physics, Vol. 16, No. 12, paper number: 1950192, 23 pages, 2019. MPIM Depository Library
A. Shojaei-Fard, Non-perturbative β-functions via Feynman graphons, Modern Physics Letters A, Vol. 34, No. 14, paper number: 1950109, 10 pages, 2019. MPIM Depository Library
A. Shojaei-Fard, Graphons and renormalization of large Feynman diagrams, Opuscula Mathematica, Vol. 38, no. 3, 427--455, 2018.
A. Shojaei-Fard, A measure theoretic perspective on the space of Feynman diagrams, Boletin de la Sociedad Matematica Mexicana, Vol. 24, No. 2, 507--533, 2018. Springer Nature SharedIt , Preprint version
A. Shojaei-Fard, A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence, Quantum Studies: Mathematics and Foundations, Vol. 4, No. 2, 127--148, 2017. Springer Nature SharedIt , Preprint version
A. Shojaei-Fard, Application of deformed Lie algebras to non-perturbative Quantum Field Theory, Journal of the Indian Mathematical Society, Vol. 84, Nos. 1--2, 109--129, 2017. Preprint version
A. Shojaei-Fard, Counterterms in the context of the universal Hopf algebra of renormalization, International Journal of Modern Physics A, Vol. 29, No. 8, paper number: 1450045, 15 pages, 2014. Bibliography Universitat Potsdam , Preprint version
A. Shojaei-Fard, A geometric perspective on counterterms related to Dyson-Schwinger equations, International Journal of Modern Physics A, Vol. 28, No. 32, paper number: 1350170, 15 pages, 2013. Bibliography Universitat Potsdam , Preprint version
A. Shojaei-Fard, The global β−functions from solutions of Dyson-Schwinger equations, Modern Physics Letters A, Vol. 28, No. 34, paper number: 1350152, 12 pages, 2013. Bibliography Universitat Potsdam , Preprint version
A. Shojaei-Fard, Motivic Dyson-Schwinger equations, International Journal of Modern Physics A, Vol. 28, No. 20, paper number: 1350102, 19 pages, 2013. Bibliography Universitat Potsdam , Preprint version
A. Shojaei-Fard, What is a quantum equation of motion?, Electronic Journal of Theoretical Physics, Aracne-Editrice, Vol. 10, No. 28, 1--8, 2013, Bibliography Universitat Potsdam
A. Shojaei-Fard, From Dyson-Schwinger equations to the Riemann-Hilbert correspondence, International Journal of Geometric Methods in Modern Physics, Vol. 7, No. 4, 519--538, 2010. Preprint version
A. Shojaei-Fard, Fixed point equations related to motion integrals in renormalization Hopf algebra, World Academy of Science, Engineering and Technology (WASET), Vol. 3, No. 11, 2009. (Old Address: (WASET) Int. J. Comput. Math. Sci., Vol.3, No.8, 397-402, 2009.)