The four-point function for a nonlinear two-component field, and its connections with heisenberg’s theory of elementary particles

1962 ◽  
Vol 25 (5) ◽  
pp. 1167-1182 ◽  
Author(s):  
E. Montaldi
Keyword(s):  
Elementary Particles ◽  
Point Function ◽  
Two Component ◽  
Component Field

Operator regularization beyond lowest order

1988 ◽  
Vol 66 (3) ◽  
pp. 268-278 ◽  
Author(s):  
D. G. C. McKeon ◽  
S. S. Samant ◽  
T. N. Sherry
Keyword(s):  
Quantum Electrodynamics ◽  
Loop Order ◽  
Point Function ◽  
Scalar Theory ◽  
Final Model ◽  
Component Field ◽  
Field Formalism ◽  
Massless Quantum ◽  
Limiting Value ◽  
Zumino Model

We pursue operator regularization beyond lowest order. In lowest order, it is the determinants of operators that are regulated; beyond lowest order it is the inverses of operators. As in lowest order, operator regularization to two-loop order and beyond avoids explicit infinities both in the integrals that are evaluated and in the regulating parameter s as it approaches its limiting value of zero. Operator regularization also replaces the Feynman diagrammatic expansion with an expansion due to Schwinger. No explicit symmetry-breaking regulating parameter is inserted into the original Lagrangian. We illustrate our technique by examining the two-point function in [Formula: see text] scalar theory, the effective potential in [Formula: see text] scalar theory, the vacuum polarization in massless quantum electrodynamics, and the two-point function in the Wess–Zumino model using both the superfield and component-field formalism. In all cases we find expressions that are divergence free and remain finite as the regulating parameter approaches its limiting value. In the final model we explicitly show that the supersymmetry Ward identity for the two-point functions is satisfied to two-loop order.

Numerical simulation of kink dynamics for a two-component field

1984 ◽  
Vol 29 (6) ◽  
pp. 1154-1159 ◽  
Author(s):  
P. Hawrylak ◽  
K. R. Subbaswamy ◽  
S. E. Trullinger
Keyword(s):  
Numerical Simulation ◽  
Two Component ◽  
Component Field

scholarly journals Multi-regulator functional renormalization group for many-fermion systems

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740027
Author(s):  
Yuya Tanizaki ◽  
Tetsuo Hatsuda
Keyword(s):  
Renormalization Group ◽  
Collective Excitations ◽  
Einstein Condensation ◽  
Point Function ◽  
Functional Renormalization Group ◽  
Fermionic System ◽  
Bose Einstein Condensation ◽  
Fermion Systems ◽  
Two Component ◽  
Bose Einstein

We propose a method of multi-regulator functional renormalization group (MR-FRG) which is a novel formulation of functional renormalization group with multiple infrared (IR) regulators. It is applied to a two-component fermionic system with an attractive contact interaction to study crossover phenomena between the Bardeen–Cooper–Schrieffer (BCS) phase and the Bose–Einstein condensation (BEC) phase. To control both the fermionic one-particle excitations and the bosonic collective excitations, IR regulators are introduced, one for the fermionic two-point function and another for the four-fermion vertex. It is shown that the Nozières–Schmitt-Rink (NSR) theory, which is successful to capture qualitative features of the BCS–BEC crossover, can be derived from MR–FRG. Some aspects of MR-FRG to go beyond the NSR theory are also discussed.

Direction finding in a two-component field

1960 ◽  
Vol 8 (5) ◽  
pp. 520-521 ◽  
Author(s):  
D. Travers ◽  
W. Sherrill
Keyword(s):  
Direction Finding ◽  
Two Component ◽  
Component Field

Spectroscopic Observations of Visual Double Stars

1965 ◽  
Vol 5 ◽  
pp. 109-111
Author(s):  
Frederick R. West
Keyword(s):  
Radial Velocity ◽  
High Dispersion ◽  
Velocity Difference ◽  
Spectrograph Slit ◽  
Spectroscopic Observations ◽  
Double Stars ◽  
Visual Double Stars ◽  
Relative Orbit ◽  
Two Component ◽  
Star Images

There are certain visual double stars which, when close to a node of their relative orbit, should have enough radial velocity difference (10-20 km/s) that the spectra of the two component stars will appear resolved on high-dispersion spectrograms (5 Å/mm or less) obtainable by use of modern coudé and solar spectrographs on bright stars. Both star images are then recorded simultaneously on the spectrograph slit, so that two stellar components will appear on each spectrogram.

A technique for protecting delicate specimens during processing

1989 ◽  
Vol 47 ◽  
pp. 982-983
Author(s):  
R.J. Mount ◽  
R.V. Harrison
Keyword(s):  
Basilar Membrane ◽  
Low Cost ◽  
Organ Of Corti ◽  
Region Of Interest ◽  
Sensory Epithelium ◽  
Physical Damage ◽  
Air Drying ◽  
Specimen Handling ◽  
Two Component

The sensory end organ of the ear, the organ of Corti, rests on a thin basilar membrane which lies between the bone of the central modiolus and the bony wall of the cochlea. In vivo, the organ of Corti is protected by the bony wall which totally surrounds it. In order to examine the sensory epithelium by scanning electron microscopy it is necessary to dissect away the protective bone and expose the region of interest (Fig. 1). This leaves the fragile organ of Corti susceptible to physical damage during subsequent handling. In our laboratory cochlear specimens, after dissection, are routinely prepared by the O-T- O-T-O technique, critical point dried and then lightly sputter coated with gold. This processing involves considerable specimen handling including several hours on a rotator during which the organ of Corti is at risk of being physically damaged. The following procedure uses low cost, readily available materials to hold the specimen during processing ,preventing physical damage while allowing an unhindered exchange of fluids.Following fixation, the cochlea is dehydrated to 70% ethanol then dissected under ethanol to prevent air drying. The holder is prepared by punching a hole in the flexible snap cap of a Wheaton vial with a paper hole punch. A small amount of two component epoxy putty is well mixed then pushed through the hole in the cap. The putty on the inner cap is formed into a “cup” to hold the specimen (Fig. 2), the putty on the outside is smoothed into a “button” to give good attachment even when the cap is flexed during handling (Fig. 3). The cap is submerged in the 70% ethanol, the bone at the base of the cochlea is seated into the cup and the sides of the cup squeezed with forceps to grip it (Fig.4). Several types of epoxy putty have been tried, most are either soluble in ethanol to some degree or do not set in ethanol. The only putty we find successful is “DUROtm MASTERMENDtm Epoxy Extra Strength Ribbon” (Loctite Corp., Cleveland, Ohio), this is a blue and yellow ribbon which is kneaded to form a green putty, it is available at many hardware stores.

Elementary Particles and the Laws of Physics

1987 ◽  
Author(s):  
Richard P. Feynman ◽  
Steven Weinberg
Keyword(s):  
Elementary Particles
Sign in / Sign up

Export Citation Format

Share Document