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Published: 9 March 2023

Last updated: 10 March 2023

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1

Evans, Nick, Stephen D. H. Hsu, Myckola Schwetz, and Stephen B. Selipsky. "Exact results in softly broken SUSY theories." Nuclear Physics B - Proceedings Supplements 52, no. 1-2 (January 1997): 223–25. http://dx.doi.org/10.1016/s0920-5632(96)00567-1.

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2

Solomon, Dan. "Some differences between Dirac's hole theory and quantum field theory." Canadian Journal of Physics 83, no. 3 (March 1, 2005): 257–71. http://dx.doi.org/10.1139/p04-086.

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Dirac's hole theory (HT) and quantum field theory (QFT) are generally considered equivalent. However, it was recently shown by several investigators that this is not necessarily the case because when the change in the vacuum energy was calculated for a time-independent perturbation, HT and QFT yielded different results. In this paper, we extend this discussion to include a time-dependent perturbation for which the exact solution to the Dirac equation is known. We show that for this case also, HT and QFT yield different results. In addition, we offer some discussion of the problem of anomalies in QFT. PACS Nos.: 03.65w, 11.10z

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3

SEIBERG, N. "THE POWER OF DUALITY — EXACT RESULTS IN 4D SUSY FIELD THEORY." International Journal of Modern Physics A 16, no. 27 (October 30, 2001): 4365–76. http://dx.doi.org/10.1142/s0217751x01005705.

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Recently the vacuum structure of a large class of four-dimensional (supersymmetric) quantum field theories was determined exactly. These theories exhibit a wide range of interesting new physical phenomena. One of the main new insights is the role of "electric–magnetic duality." In its simplest form it describes the long distance behavior of some strongly coupled, and hence complicated, "electric theories" in terms of weakly coupled "magnetic theories." This understanding sheds new light on confinement and the Higgs mechanism and uncovers new phases of four-dimensional gauge theories. We review these developments and speculate on the outlook.

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4

Finnell, D., and P. Pouliot. "Instanton calculations versus exact results in four dimensional SUSY gauge theories." Nuclear Physics B 453, no. 1-2 (October 1995): 225–39. http://dx.doi.org/10.1016/0550-3213(95)00318-m.

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5

Seiberg, N. "The Power of Duality — Exact Results in 4D SUSY Field Theory." International Journal of Modern Physics A 12, no. 29 (November 20, 1997): 5171–82. http://dx.doi.org/10.1142/s0217751x97002772.

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Recently the vacuum structure of a large class of four-dimensional (supersymmetric) quantum field theories was determined exactly. These theories exhibit a wide range of interesting new physical phenomena. One of the main new insights is the role of "electric–magnetic duality." In its simplest form it describes the long distance behavior of some strongly coupled, and hence complicated, "electric theories" in terms of weakly coupled "magnetic theories." This understanding sheds new light on confinement and the Higgs mechanism and uncovers new phases of four-dimensional gauge theories. We review these developments and speculate on the outlook.

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6

Rousset, Stella, Emmanuel Treiner, Guillaume Moulis, Grégory Pugnet, Léonardo Astudillo, Kim Paricaud, Bénédicte Puissant-Lubrano, Philippe Arlet, Antoine Blancher, and Laurent Sailler. "High rate of indeterminate results of the QuantiFERON-TB Gold in-tube test, third generation, in patients with systemic vasculitis." Rheumatology 59, no. 5 (September 13, 2019): 1006–10. http://dx.doi.org/10.1093/rheumatology/kez390.

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Abstract Objectives To describe the frequency of QuantiFERON-TB Gold in-tube test® (QFT-GIT) indeterminate results due to no response to phytohaemagglutinin A stimulation in the control tube in vasculitis patients prior to immunosuppressant therapy; and to compare it with other groups of patients. Methods This was a single-centre, retrospective study. Patients and controls were included between 1 January 2008 and 31 December 2015. We assessed the rate of indeterminate results of the QFT-GIT in 38 patients with systemic vasculitis prior to any corticosteroid or immunosuppressant therapy, compared with 40 non-vasculitis patients with biological inflammatory syndrome, and 310 non-immunosuppressed patients matched for gender and age. Results Indeterminate results due to no response to phytohaemagglutinin A were more frequent in vasculitis patients (21.1%) compared with non-vasculitis patients with biological inflammatory syndrome (7.5%) (Fisher's exact test: P = 0.11) and to anonymized controls (7%) (P = 0.009). Responses to phytohaemagglutinin A were significantly lower in vasculitis patients compared with other groups (Kruskal–Wallis test: P < 0.0001) and compared with non-vasculitis patients with biological inflammatory syndrome (P = 0.0015). The multivariable analysis identified as independent predictors of an indeterminate result of the QFT-GIT: the presence of systemic vasculitis (odds ratio 9.64 [1.14–81.3], P = 0.037) and a high neutrophil-to-lymphocyte ratio (odds ratio 1.70 [1.21–2.37], P = 0.002). One patient with an indeterminate result of QFT-GIT developed active tuberculosis after one year of corticosteroid therapy for giant cell arteritis. Conclusion Our results question the reliability of QFT-GIT to rule out latent tuberculosis in vasculitis patients at diagnosis, prior to immunosuppressant therapy.

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7

Cho, Peter. "Exact results in SO(11) SUSY gauge theories with spinor and vector matter." Physics Letters B 400, no. 1-2 (May 1997): 101–8. http://dx.doi.org/10.1016/s0370-2693(97)00315-8.

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8

Seiberg, Nathan. "Exact results on the space of vacua of four-dimensional SUSY gauge theories." Physical Review D 49, no. 12 (June 15, 1994): 6857–63. http://dx.doi.org/10.1103/physrevd.49.6857.

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9

Darewych, J. W. "Some exact solutions of reduced scalar Yukawa theory." Canadian Journal of Physics 76, no. 7 (June 3, 1998): 523–37. http://dx.doi.org/10.1139/p98-036.

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The scalar Yukawa model, in which a complex scalar field, ϕ, interacts via a real scalar field, χ, is reduced by using covariant Green functions. It is shown that exact few-particle eigenstates of the truncated QFT Hamiltonian can be obtained in the FeshbachVillars formulation if an unorthodox "empty" vacuum state is used. Analytic solutions for the two-body case are obtained for massless chion exchange in 3+1 dimensions and for massive chion exchange in 1+1 dimensions. Comparison is made to ladder BetheSalpeter, FeynmanSchwinger, and quasipotential results for massive chion exchange in 3+1. Equations for the three-body case are also obtained. PACS Nos.: 11.10.Ef, 11.10.Qr, and 03.70.+k

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10

Marshakov, A. "Lecture on SUSY Gauge Theories and Integrable Systems." International Journal of Modern Physics B 11, no. 26n27 (October 30, 1997): 3093–124. http://dx.doi.org/10.1142/s0217979297001519.

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I consider main features of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential. The example of periodic Toda chain solutions is considered in detail. Recently found exact nonperturbative solutions to [Formula: see text] SUSY gauge theories are formulated using the methods of the theory of integrable systems and where possible the parallels between standard quantum field theory results and solutions to the integrable systems are discussed.

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11

Nataraj, P. S. V., and Gautam Sardar. "Computation of QFT Bounds for Robust Sensitivity and Gain-Phase Margin Specifications." Journal of Dynamic Systems, Measurement, and Control 122, no. 3 (February 3, 1999): 528–34. http://dx.doi.org/10.1115/1.1286867.

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Algorithms are presented for generation of QFT controller bounds to achieve robust sensitivity reduction and gain-phase margin specifications. The proposed algorithms use quadratic constraints and interval plant templates to derive the bounds, and present several improvements over existing QFT bound generation algorithms: (1) The bounds can be generated over interval controller phases, as opposed to discrete controller phases in existing QFT algorithms. This feature essentially solves the safety problems associated with phase discretization process in QFT bound generation; (2) The generated bounds are guaranteed to be safe and reliable, even for very coarse interval templates (of poor accuracy), and despite all kinds of computational errors; (3) Inner as well as outer enclosures of the exact bound values can be obtained using the proposed algorithms. Such enclosures directly provide upper bounds on the error in the generated results for any given interval template; (4) A very significant reduction in computational effort—typically, reduction in flops by 2–3 orders of magnitude is achieved; (5) The vertical line (or rectangle) nature of plant templates exhibited in the low and high frequency ranges can be readily exploited to obtain bounds with very little effort; (6) The number of flops required to generate the bounds for any given template can be estimated closely a priori; (7) The (entire) algorithms can be programmed using vectorized operations, resulting in small execution times. [S0022-0434(00)02403-5]

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12

Csáki, Csaba, Witold Skiba, and Martin Schmaltz. "Exact results and duality for Sp(2N) SUSY gauge theories with an antisymmetric tensor." Nuclear Physics B 487, no. 1-2 (March 1997): 128–40. http://dx.doi.org/10.1016/s0550-3213(96)00709-2.

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13

BHADURI, R. K., AVINASH KHARE, and M. V. N. MURTHY. "GENERAL RESULTS FOR THE WITTEN INDEX USING THE WIGNER-KIRKWOOD EXPANSION." Modern Physics Letters A 04, no. 27 (December 20, 1989): 2701–4. http://dx.doi.org/10.1142/s0217732389003002.

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A systematic ħ-expansion of the regulated Witten index Δ(β) in one and two-dimensional SUSY quantum mechanics reveals that the lowest order ħ-term is nonzero, and all terms to at least the next four orders vanish. In one dimension, this lowest order term yields the well-known exact quantum result for an arbitrary superpotential. For the Pauli Hamiltonian with an arbitrary vector potential in two-dimensions, we find the new result that the semiclassical Δ(β) is β-independent and is equal to the number of magnetic flux lines.

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14

Hoekstra, Nadia E., Mark Anderson, and James Gaensbauer. "1649. Characterizing Factors Associated with Pediatric Latent Tuberculosis Infection in an Urban Health System to Improve Screening Practices." Open Forum Infectious Diseases 7, Supplement_1 (October 1, 2020): S812. http://dx.doi.org/10.1093/ofid/ofaa439.1827.

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Abstract Background The epidemiology and risk factors informing current American Academy of Pediatrics (AAP) guidelines on screening for pediatric latent tuberculosis infection (LTBI) have evolved over the past decade. To improve pediatric LTBI screening efficiency, we sought to reevaluate characteristics associated with positive QuantiFERON-TB Gold Plus (QFT-Plus) at Denver Health (DH), an urban health system that includes a network of primary care clinics, a refugee clinic and a tuberculosis clinic. Methods We retrospectively analyzed all QFT-Plus tests performed on children aged 2-18 years from 1/2019 to 9/2019. To obtain additional variables we conducted chart review on all positive and indeterminate results, and a random 10% sample of negatives. Characteristics (age range, sex, region of birth, clinic setting, primary language) of patients with positive and negative QFT-Plus were compared using Chi2 or Fisher’s exact tests (Table 1). Using the 10% negative controls, we calculated odds ratios for each variable and included important or significant variables in a multivariable logistic regression model. Results Of 1063 QFT-Plus tests performed, 29 (2.7%) were positive. 76% of all positive tests and 83% of positive tests in primary care clinics occurred in patients age ≥10. 51.7% of all positive patients were born in the US. Among factors analyzed by logistic regression including birth region, reason for screening, sex, age, ordering location, insurance status, and language, only Spanish language (OR 5.0, CI 1.6-15.8) and non-English, non-Spanish language (OR 6.4, CI 1.4-28.5) were significant risk factors for positive testing. Characteristics of Denver Health Patients with Positive and Negative QFT-Plus, January-September 2019. Conclusion Language was the only predictor of LTBI in this study, and may be a proxy for high risk travel and family exposure. Region of birth was not predictive, as half of positive tests occurred in US-born children. The majority of positive tests occurred in older children, suggesting they should be prioritized in screening programs, though occasional detection among younger children reinforces the importance of LTBI detection in ages where risk of progression to active TB is higher. Further studies are needed to better elucidate the details behind positive testing, including more detailed characterization of travel and potential family exposures. Disclosures All Authors: No reported disclosures

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15

WOSIEK, JACEK. "SUPERSYMMETRIC YANG-MILLS QUANTUM MECHANICS IN VARIOUS DIMENSIONS." International Journal of Modern Physics A 20, no. 19 (July 30, 2005): 4484–91. http://dx.doi.org/10.1142/s0217751x05028107.

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Recent analytical and numerical solutions of above systems are reviewed. Discussed results include: a) exact construction of the supersymmetric vacua in two space-time dimensions, and b) precise numerical calculations of the coexisting, continuous and discrete, spectra in the four-dimensional system, together with the identification of dynamical supermultiplets and SUSY vacua. New construction of the gluinoless SO (9) singlet state, which is vastly different from the empty state, in the ten-dimensional model is also briefly summarized.

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16

Ovrut, Burt A., Austin Purves, and Sogee Spinner. "A statistical analysis of the minimal SUSY B–L theory." Modern Physics Letters A 30, no. 18 (May 25, 2015): 1550085. http://dx.doi.org/10.1142/s0217732315500856.

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The structure of the B–L minimal supersymmetric Standard Model (MSSM) theory — specifically, the relevant mass scales and soft supersymmetric breaking parameters — is discussed. The space of initial soft parameters is explored at the high scale using random statistical sampling subject to a constraint on the range of dimensionful parameters. For every chosen initial point, the complete set of renormalization group equations is solved. The low energy results are then constrained to be consistent with present experimental data. It is shown that a large set of initial conditions satisfy these constraints and lead to acceptable low energy particle physics. Each such initial point has explicit predictions, such as the exact physical sparticle spectrum which is presented for two such points. There are also statistical predictions for the masses of the sparticles and the LSP species which are displayed as histograms. Finally, the fine-tuning of the μ parameter — which is always equivalent to or smaller than in the MSSM — is discussed.

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17

Kalitvianski, Vladimir. "Atom as a “dressed” nucleus." Open Physics 7, no. 1 (January 1, 2009): 1–11. http://dx.doi.org/10.2478/s11534-008-0148-4.

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AbstractWe show that the electrostatic potential of an atomic nucleus “seen” by a fast charged projectile at short distances is quantum mechanically smeared due to nucleus motion around the atomic center of inertia. For example, the size of the “positive charge cloud” in the Hydrogen ground state is much larger than the proper proton size. For target atoms in excited initial states, the effect is even larger. The elastic scattering at large angles is generally weaker than the Rutherford scattering since the effective potential at short distances is softer than the Colombian one due to a natural “cutoff”. In addition, the large-angle scattering leads to target atom excitations due to pushing the nucleus (⇒ inelastic processes). The Rutherford cross section is in fact inclusive rather than elastic. These results are analogous to those from QED. Non-relativistic atomic calculations are presented. The difference and the value of these calculations arise from nonperturbatively (exact) nucleus “dressing” that immediately leads to correct physical results and to significant technical simplifications. In these respects a nucleus bound in an atom is a simple but rather realistic model of a “dressed” charge in the QFT. This idea is briefly demonstrated on a real electron model (electronium) which is free from infinities.

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18

BILAUT, Dedy Adrianus, A. SUPARMI, C. CARI, and Suci FANIANDARI. "ANALYSIS OF ENERGY AND WAVE FUNCTIONS AND THE THERMODYNAMICS PROPERTIES OF THE 6-DIMENSIONAL SCHRODINGER EQUATION UNDER DOUBLE RING-SHAPE OSCILLATOR (DRSO) AND MANNING-ROSEN POTENTIALS USING SUSY QM METHOD." Periódico Tchê Química 17, no. 36 (December 20, 2020): 565–83. http://dx.doi.org/10.52571/ptq.v17.n36.2020.580_periodico36_pgs_565_583.pdf.

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The exact solutions of the Schrodinger equations (SE) in the D-dimensional coordinate system have attracted the attention of many theoretical researchers in branches of quantum physics and quantum chemistry. The energy eigenvalues and the wave function are the solutions of the Schrodinger equation that implicitly represents the behavior of a quantum mechanical system. This study aimed to obtain the eigenvalues, wave functions, and thermodynamic properties of the 6-Dimensional Schrodinger equation under Double Ring-Shaped Oscillator (DRSO) and Manning-Rosen potential. The variable separation method was applied to reduce the one 6-Dimensional Schrodinger equation depending on radial and angular non-central potential into five onedimensional Schrodinger equations: one radial and five angular Schrodinger equations. Each of these onedimensional Schrodinger equations was solved using the SUSY QM method to obtain one eigenvalue and one wave function of the radial part, five eigenvalues, and five angular wave functions angular part. Some thermodynamic properties such, the vibrational mean energy 𝑈, vibrational specific heat 𝐶, vibrational free energy 𝐹, and vibrational entropy 𝑆, were obtained using the radial energy equations. The results showed that except the 𝑛𝑙1, all increment of angular quantum number decreases the energy values. Increments of all potential parameter increase the energy values. Increment of angular quantum number and potentials parameter increases the amplitude and shifts the wave functions to the left. However, the increment of 𝑛𝑙1, 𝛼, 𝜎, and 𝜌 decrease the amplitude and shift wavefunctions to the right. Moreover, the vibrational mean energy 𝑈 and free energy 𝐹 increased as the increasing value of potentials parameters, where the ω parameter has the dominant effect than the other parameters. The vibrational specific heat 𝐶 and entropy 𝑆 affected only by the 𝜔 parameter, where 𝐶 and 𝑆 decreased as the increase of 𝜔.

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19

Blas, H., M. Cerna Maguiña, and L. F. dos Santos. "Modified AKNS model, Riccati-type pseudo-potential approach and infinite towers of quasi-conservation laws." International Journal of Modern Physics B, April 18, 2022. http://dx.doi.org/10.1142/s0217979222500709.

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In this paper, a dual Riccati-type pseudo-potential formulation is introduced for a modified AKNS system (MAKNS) and infinite towers of novel anomalous conservation laws are uncovered. In addition, infinite towers of exact nonlocal conservation laws are uncovered in a linear formulation of the system. It is shown that certain modifications of the nonlinear Schrödinger model (MNLS) can be obtained through a reduction process starting from the MAKNS model. So, the novel infinite sets of quasi-conservation laws and related anomalous charges are constructed by an unified and rigorous approach based on the Riccati-type pseudo-potential method, for the standard NLS and modified MNLS cases, respectively. The nonlocal properties, the complete list of towers of infinite number of anomalous charges and the (nonlocal) exact conservation laws of the quasi-integrable systems, such as the deformed Bullough–Dodd, Toda, KdV and SUSY sine-Gordon systems, can be studied in the framework presented in this paper. Our results may find many applications since the AKNS-type system arises in several branches of nonlinear physics such as Bose–Einstein condensation, superconductivity and soliton turbulence.

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20

Berkooz, Micha, Nadav Brukner, Vladimir Narovlansky, and Amir Raz. "The double scaled limit of super-symmetric SYK models." Journal of High Energy Physics 2020, no. 12 (December 2020). http://dx.doi.org/10.1007/jhep12(2020)110.

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Abstract We compute the exact density of states and 2-point function of the $$ \mathcal{N} $$ N = 2 super-symmetric SYK model in the large N double-scaled limit, by using combinatorial tools that relate the moments of the distribution to sums over oriented chord diagrams. In particular we show how SUSY is realized on the (highly degenerate) Hilbert space of chords. We further calculate analytically the number of ground states of the model in each charge sector at finite N, and compare it to the results from the double-scaled limit. Our results reduce to the super-Schwarzian action in the low energy short interaction length limit. They imply that the conformal ansatz of the 2-point function is inconsistent due to the large number of ground states, and we show how to add this contribution. We also discuss the relation of the model to SLq(2|1). For completeness we present an overview of the $$ \mathcal{N} $$ N = 1 super-symmetric SYK model in the large N double-scaled limit.

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