2025/11/04 by Matsuo Sato, Sato, Matsuo · 2 citations
Physics and Astronomy · Social Sciences · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #International Science and Diplomacy #Quantum and Classical Electrodynamics #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2511.02310
openalex publication_date 2025/11/04 · openalex created_date 2025/11/06 · openalex updated_date 2026/07/28
String geometry theory is one of the candidates of a non-perturbative formulation of string theory. In this theory, the ``classical'' action is almost uniquely determined by T-symmetry, which is a generalization of the T-duality, where the parameter of ``quantum'' corrections β in the path-integral of the theory is independent of that of quantum corrections ℏ in the perturbative string theories. We distinguish the effects of β and ℏ by putting " " like "classical" and "loops" for tree level and loop corrections with respect to β, respectively, whereas by putting nothing like classical and loops for tree level and loop corrections with respect to ℏ, respectively. A non-renormalization theorem states that there is no ``loop'' correction. Thus, there is no problem of non-renormalizability, although the theory is defined by the path-integral over the fields including a metric on string geometry. No ``loop'' correction is also the reason why the complete path-integrals of the all-order perturbative strings in general string backgrounds are derived from the ``tree''-level two-point correlation functions in the perturbative vacua, although string geometry includes information of genera of the world-sheets of the stings. Furthermore, a non-perturbative correction in string coupling with the order e-1/gs2 is given by a transition amplitude representing a tunneling process between the semi-stable vacua in the ``classical'' potential by an ``instanton'' in the theory. From this effect, a generic initial state will reach the minimum of the potential.