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  2. S-matrix - Wikipedia

    en.wikipedia.org/wiki/S-matrix

    The S-matrix is closely related to the transition probability amplitude in quantum mechanics and to cross sections of various interactions; the elements (individual numerical entries) in the S-matrix are known as scattering amplitudes. Poles of the S-matrix in the complex-energy plane are identified with bound states, virtual states or resonances.

  3. S-matrix theory - Wikipedia

    en.wikipedia.org/wiki/S-matrix_theory

    In S-matrix theory, the S-matrix relates the infinite past to the infinite future in one step, without being decomposable into intermediate steps corresponding to time-slices. This program was very influential in the 1960s, because it was a plausible substitute for quantum field theory , which was plagued with the zero interaction phenomenon at ...

  4. Bootstrap model - Wikipedia

    en.wikipedia.org/wiki/Bootstrap_model

    This is nowadays known not to be true, since there are many theories which are nonperturbatively consistent, each with their own S-matrix. Without the narrow-resonance approximation, the bootstrap program did not have a clear expansion parameter, and the consistency equations were often complicated and unwieldy, so that the method had limited ...

  5. Schwinger–Dyson equation - Wikipedia

    en.wikipedia.org/wiki/Schwinger–Dyson_equation

    In his paper "The S-Matrix in Quantum electrodynamics", [1] Dyson derived relations between different S-matrix elements, or more specific "one-particle Green's functions", in quantum electrodynamics, by summing up infinitely many Feynman diagrams, thus working in a perturbative approach.

  6. Cluster decomposition - Wikipedia

    en.wikipedia.org/wiki/Cluster_decomposition

    The S-matrix describes the amplitude for a process with an initial state evolving into a final state .If the initial and final states consist of two clusters, with and close to each other but far from the pair and , then the cluster decomposition property requires the S-matrix to factorize

  7. Yang–Baxter equation - Wikipedia

    en.wikipedia.org/wiki/Yang–Baxter_equation

    Let be a unital associative algebra.In its most general form, the parameter-dependent Yang–Baxter equation is an equation for (, ′), a parameter-dependent element of the tensor product (here, and ′ are the parameters, which usually range over the real numbers ℝ in the case of an additive parameter, or over positive real numbers ℝ + in the case of a multiplicative parameter).

  8. Leonard Susskind - Wikipedia

    en.wikipedia.org/wiki/Leonard_Susskind

    Leonard Susskind (/ ˈ s ʌ s k ɪ n d /; born June 16, 1940) [2] [3] is an American theoretical physicist, Professor of theoretical physics at Stanford University and founding director of the Stanford Institute for Theoretical Physics. His research interests are string theory, quantum field theory, quantum statistical mechanics and quantum ...

  9. Regge theory - Wikipedia

    en.wikipedia.org/wiki/Regge_theory

    The most successful S-matrix approach centered on the narrow-resonance approximation, the idea that there is a consistent expansion starting from stable particles on straight-line Regge trajectories. After many false starts, Richard Dolen, David Horn , and Christoph Schmid understood a crucial property that led Gabriele Veneziano to formulate a ...