Bulletin of the American Physical Society
APS April Meeting 2023
Volume 68, Number 6
Minneapolis, Minnesota (Apr 15-18)
Virtual (Apr 24-26); Time Zone: Central Time
Session F10: Field Theory and Theoretical Developments |
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Sponsoring Units: DPF Chair: Sekhar Chivukula, University of California, San Diego Room: Marquette I - 2nd Floor |
Sunday, April 16, 2023 8:30AM - 8:42AM |
F10.00001: Extracting Non-Perturbative Data from the Parametrized Hypergeometric approximants of a given divergent series Abouzeid M Shalaby The strong-coupling asymptotic behavior is not known till now for even a simple quantum field theory like the Φ4 scalar field model. In our previous work (e.g. Physical Review D 101 (10), 105006, The European Physical Journal C 81 (1), 1-13 ) we introduced and applied the hypergeometric-Meijer resummation algorithm. Other than its accurate prediction for physical quantities represented by divergent series, we stress here its accurate predictions for the asymptotic behavior of the given series. We show that one can get accurate predictions for the strong-coupling data as well as the large-order asymptotic data for parametrizing the approximants using only perturbative data as input. |
Sunday, April 16, 2023 8:42AM - 8:54AM |
F10.00002: Dynamically equivalent states and entanglement entropy Curtis T Asplund The entanglment entropy of spatial regions has been a very fruitful quantity to study in quantum field theories. In this work, I study an equivalence relation between states supported in the exterior of a given region, based on how they affect the dynamics of the interior for a given amount of time. I show how this equivalence can be formulated in a way similar to quantum field theories possessing a gauge symmetry. The resulting modified entanglement entropy can be interpreted as a measure of local complexity. Explicit results are given for some example systems and possible applications indicated. |
Sunday, April 16, 2023 8:54AM - 9:06AM |
F10.00003: Soft Particles and Infinite-Dimensional Geometry Daniel S Kapec In the sigma model, soft insertions of moduli scalars enact parallel transport of S-matrix elements about the finite-dimensional moduli space of vacua, and the antisymmetric double-soft theorem calculates the curvature of the vacuum manifold. We explore the analogs of these statements in gauge theory and gravity in asymptotically flat spacetimes, where the relevant moduli spaces are infinite-dimensional. These models have spaces of vacua parameterized by (trivial) flat connections at spatial infinity, and soft insertions of photons, gluons, and gravitons parallel transport S-matrix elements about these infinite-dimensional manifolds. We argue that the antisymmetric double-soft gluon theorem in d+2 bulk dimensions computes the curvature of a metric on the infinite-dimensional space Map(Sd,G)/G. The analogous metrics in abelian gauge theory and gravity are flat, as indicated by the vanishing of the antisymmetric double-soft theorems in those models. In other words, Feynman diagram calculations not only know about the vacuum manifold of Yang-Mills theory, they can also be used to compute its curvature. The results have interesting implications for flat holography. |
Sunday, April 16, 2023 9:06AM - 9:18AM |
F10.00004: Contracting de Sitter and anti-de Sitter spaces into a Poincaré space and interpolating Poincaré generators between the instant form and the light-front form Deepasika Dayananda, Chueng-Ryong Ji De Sitter and anti-de Sitter spaces are the maximally symmetric vacuum solutions of Einstein's field equation with positive and negative cosmological constants, respectively. Considering the contraction of groups and algebras 'a la Inonu and Wigner in 1953 as well as the fact that the geometry of the spacetime is deeply connected with the corresponding groups and algebras, we present the contraction of de Sitter and anti-de Sitter groups (SO(4,1) and SO(3,2)) into Poincaré group (ISO(3,1)) in the limit of cosmological constants of their spaces go to zero making the curvature of the spaces vanish. From this result, we may understand the Minkowski space as the tangential space of the de-Sitter and anti-de Sitter spaces. For the illustration, we show our calculation in the usual vector representation as well as in the matrix representation using the operators and gamma matrices from the spinor representation. To further understand the Poincaré group more extensively, we interpolate the Poincaré generators between the instant form dynamics (IFD) and the light-front dynamics (LFD) and discuss their kinematic and dynamic properties presenting the algebra of the interpolating Poincaré group. |
Sunday, April 16, 2023 9:18AM - 9:30AM |
F10.00005: The Asymmetric Dynamical Casimir Effect Matthew Gorban, William Julius, Gerald B Cleaver, Ramesh Radhakrishnan When asymmetric boundary conditions are imposed on a fluctuating mirror, the spectrum of emitted particles is no longer symmetric and the opposing sides of the mirror produce an unequal number of particles. This is the asymmetric dynamical Casimir effect (ADCE). Here we investigate the necessary conditions and general structure of the ADCE through both the waves-based and particles-based perspectives. We review the current state of ADCE literature and expand upon previous work to generate new asymmetric solutions. The physical consequences of the ADCE are examined, as the imbalance of particles produced must be balanced with subsequent motion of the mirror. |
Sunday, April 16, 2023 9:30AM - 9:42AM Withdrawn |
F10.00006: Quantum Simulation of the Gross-Neveu Model Muhammad Asaduzzaman, Yannick L Meurice, Simon Catterall, Ryo Sakai, Goksu Can Toga We discuss the use of quantum simulation to study a two-flavor theory of interacting relativistic fermions in (1+1) dimensions on noisy intermediate-scale quantum (NISQ) era machines. We report on the scaling of the Trotter evolution circuit and compare results obtained from different quantum processing units where different error mitigation techniques are applied. We discuss improved techniques of variational quantum eigensolver to prepare the ground state and discuss the implementation of the ground state with the current NISQ era machines. We also probe the phase diagram of the two-flavor Gross-Neveu model using finite size results for a lattice chain of finite length. |
Sunday, April 16, 2023 9:42AM - 9:54AM |
F10.00007: The Inflaton as a Pseudo-Nambu-Goldstone Higgs Humberto Gilmer, Stephon Alexander, Cyril Creque-Sarbinowski, Katherine Freese The study of both particle physics and cosmology is characterized by the presence of large scale hierarchies, that remain open theoretical puzzles. These must be resolved by hand, a process known as fine-tuning. In particle physics, one such manifestation is that of the stabilization of the Higgs potential, also known as 'the' hierarchy problem. Cosmology also involves a problem of large scales, namely that the potential of inflation must be flat enough, and remain so, in order for sufficient inflation to take place. We present a concrete implementation of the Cosmological Electroweak Symmetry Breaking, an idea originally laid out as a toy model in 2210.10735. In this construction, the Higgs, is a pseudo-Nambu-Goldstone-Boson, which can be accommodated by a coset model, has its hierarchy stabilized by a periodic potential; simultaneously, the Higgs through its interactions with weak gauge boson fields and gravity realizes an epoch of cosmic inflation on that same potential. The slow-roll condition is implemented through an additional coupling to the weak gauge field Chern-Simons term. The results and constraints of this construction are presented, as well as new directions to be pursued. |
Sunday, April 16, 2023 9:54AM - 10:06AM |
F10.00008: Two loop calculations in massive field theories. Stanislav Srednyak We will report our work on new computational methods for high order perturbation theory. In the context of the PRadII experiment, it is very important to have working tools for efficient evaluation of cut diagrams. However, the usual methods of deriving differential equations for Feynman integrals fail for cut diagrams. We developed an extension of the conventional methods for this case and applied it to Passarino-Veltman integrals. At PRadII precision, it is necessary to evaluate two loop integrals. We studied the double Bethe-Heitler process and the intermediate integrals that emerge in this case. We show that they do not evaluate to polylogarithms, thus providing another example of higher transcendental functions that emerge at two loop level, on par with the elliptic polylogarithms. We studied the singularity structure of these functions in the limit case of PRad II kinematics. Many of our methods are applicable for more general two loop diagrams, with and without cuts. For instance , we give a complete description of singularity loci of two loop diagrams with arbitrary masses and arbitrary number of external momenta. We discuss applications of these findings for efficient calculation of these diagrams, and for construction of uniformized models of particle configuration spaces at two loop order. We observe that these spaces provide a natural generalization of Grassmannians. |
Sunday, April 16, 2023 10:06AM - 10:18AM |
F10.00009: Pure gauge theory for the gravitational spin connection Tucker D Manton, Stephon Alexander The gravitational spin connection appears in gravity as a non-Abelian gauge field for the Lorentz group SO(3,1), which is non-compact. The action for General Relativity is linear in the field strength associated to the spin connection, and its equation of motion corresponds to the standard metricity constraint. Consequently, the zero-torsion spin connection is never realized as an independent degree of freedom and is determined by the vierbein field. In this work, we take a different perspective and consider a pure Yang-Mills theory for the spin connection coupled to Dirac fermions, resulting in the former being a dynamical field. After discussing various approaches towards managing the pathologies associated with non-compact gauge theories, we compute the tree-level amplitude for fermion scattering via a spin connection exchange. In contrast to integrating out torsion in the presence of fermions, the model induces a chiral four-Fermi like term that involves a right-right current interaction, which is not present in the Standard Model. |
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