On the relation between p-adic and ordinary strings

Abstract

The amplitudes for the tree-level scattering of the open string tachyons, generalised to the field of p-adic numbers, define the p-adic string theory. There is empirical evidence of its relation to the ordinary string theory in the p_to_1 limit. We revisit this limit from a worldsheet perspective and argue that it is naturally thought of as a continuum limit in the sense of the renormalisation group.

13 pages harvmac (b), 2 eps figures; v2: revtex, shortened, published version

References in corpus (16)

• Some Exact Results on Tachyon Condensation in String Field Theory
• On Background Independent Open-String Field Theory
• On Exact Tachyon Potential in Open String Field Theory
• Comment on the Background Independent Open String Theory
• Tachyon Condensation and Brane Descent Relations in p-adic String Theory
• Non-BPS States and Branes in String Theory
• On the Problems with Background Independence in String Theory
• Thin Fisher Zeroes
• Random walk on Bethe lattice and hyperbolic geometry
• Normalization of the Background Independent Open String Field Theory Action
• Towards p-Adic String in Constant B-Field
• Exact noncommutative solitons in p-adic strings and BSFT
• Deformation of p-adic String Amplitudes in a Magnetic Field
• On metric structure of ultrametric spaces
• Normalization of the Boundary Superstring Field Theory Action
• Quantum Extended Arithmetic Veneziano Amplitude

Cited by in corpus (27)

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• Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity
• $p$-adic AdS/CFT
• Large Nongaussianity from Nonlocal Inflation
• Towards LHC Physics with Non-local Standard Model
• Predictions for Nongaussianity from Nonlocal Inflation
• A New Formulation of the Initial Value Problem for Nonlocal Theories
• Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
• p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field
• Defocusing of Null Rays in Infinite Derivative Gravity
• Zeta Nonlocal Scalar Fields
• Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function
• On the Exchange Interactions in Holographic p-adic CFT
• Hamiltonian for scalar field model of infinite derivative gravity
• Unruh effect of nonlocal field theories with a minimal length
• Muon $g-2$ anomaly and non-locality
• Newtonian Potential and Geodesic Completeness in Infinite Derivative Gravity
• On $p$-adic string amplitudes in the limit $p$ approaches to one
• Enhanced Symmetry of the $p$-adic Wavelets
• Building Archimedean Space
• Euclidean Quantum Field Formulation of p-Adic open string amplitudes
• Toward Holography on Biregular Trees
• Local Zeta Functions and Koba-Nielsen String Amplitudes
• Massless $p2$-brane modes and the critical line