We provide the basis for a rigorous construction of the Schwinger functions of the pure SU(2) Yang-Mills field theory in four dimensions (in the trivial topological sector) with a fixed infrared cutoff but no ultraviolet cutoff, in a regularized axial gauge. The construction exploits the positivity of the axial gauge at large field. For small fields, a different gauge, more suited to perturbative computations is used; this gauge and the corresponding propagator depends on large background fields of lower momenta. The crucial point is to control (in a non-perturbative way) the combined effect of the functional integrals over small field regions associated to a large background field and of the counterterms which restore the gauge invariance broken by the cutoff. We prove that this combined effect is stabilizing if we use cutoffs of a certain type in momentum space. We check the validity of the construction by showing that Slavnov identities (which express infinitesimal gauge invariance) do hold non-perturbatively.

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[FMRS2] Feldman, J., Magnen, J., Rivasseau, V., Sénéor, R.: A renormalizable field theory; the massive Gross-Neveu model in two dimensions. Commun. Math. Phys.103, 67 (1986)

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*If your magnification is outside of 0.1 to 10, or ratio of WD/FOV is very high or low (0.05 to 20), or your FOV/Sensor size is very high or low, or you have a very short WD (less than 100mm) , or have any questions, contact us first!

Enter number of pixels, pixel size and working distance, and either FOV or FL. NOTE:WD and FOV must be in the same units (e.g. in, ft, etc.).

[MS] Magnen, J., Sénéor, R.: In Third International Conference on Collective Phenomena. New York: The New York Academy of Sciences 1980

Cameralens calculator

WD - Working Distance - distance from the front of the lens FOV - Field of View, width of picture FL - focal length of the lens

[L] Lüscher, M.: Construction of a self-adjoint, strictly positive transfer matrix for the Euclidean lattice gauge theories. Commun. Math. Phys.54, 283 (1977)

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Focal lengthfinder from image

By using this calculator I agree to assume all responsibility and any liability associated with using this tool. Furthermore, I understand that I am responsible for independently verifying any applications that I produce with these tools.

Eyepiece Lens: the lens at the top that you look through. They are usually 10X or 15X power. Tube: Connects the eyepiece to the objective lenses. Arm: Supports ...

[FMRS1] Feldman, J., Magnen, J., Rivasseau, V., Sénéor, R.: Construction of infraredΦ 44 by a phase space expansion. Commun. Math. Phys.109, 437 (1987)

Roll our plane to the right, pointing our right wing down, down, down. Roll to the left, roll to the right, As we fly around. Pitch up, pitch down. Pitch up to ...

[F] Federbush, P.: A phase cell approach to Yang-Mills theory. I–VII. Commun. Math. Phys.107, 319 (1986);110, 293 (1987);114, 317 (1988); Ann. Inst. Henri Poincaré47, 17 (1987)

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Alle Fälle für das Substantiv „Fehlerlosigkeit auf einen Blick ✔️ Übersichtliche Aufbereitung der Deklination von „Fehlerlosigkeit in Tabellenform ...

[S] Sénéor, R.: In: Renormalization of quantum field theories with non-linear field transformations, Breitenlohner, P., Maison, D., Sibold, K. (eds.), Lect. Notes Physics, Vol. 303. Berlin, Heidelberg, New York: Springer 1988

[B] Balaban, T.: Commun. Path. Phys.95, 17 (1984);96, 223 (1984);98, 17 (1985);99, 75 (1985);99, 389 (1985);102, 277 (1985);109, 249 (1987);116, 1 (1988);119, 243 (1988);122, 175 (1989);122, 355 (1989)

Magnen, J., Rivasseau, V. & Sénéor, R. Construction ofYM 4 with an infrared cutoff. Commun.Math. Phys. 155, 325–383 (1993). https://doi.org/10.1007/BF02097397

Typically, magnification is related to scaling up visuals or images to be able to see more detail, increasing resolution, using microscope, printing techniques, ...