scholarly journals Evidence for the unbinding of the 𝜙4 kink’s shape mode

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Jarah Evslin

Abstract The 𝜙4 double-well theory admits a kink solution, whose rich phenomenology is strongly affected by the existence of a single bound excitation called the shape mode. We find that the leading quantum correction to the energy needed to excite the shape mode is −0.115567λ/M in terms of the coupling λ/4 and the meson mass M evaluated at the minimum of the potential. On the other hand, the correction to the continuum threshold is −0.433λ/M. A naive extrapolation to finite coupling then suggests that the shape mode melts into the continuum at the modest coupling of λ/4 ∼ 0.106M2, where the ℤ2 symmetry is still broken.

2014 ◽  
Vol 45 (2) ◽  
pp. 167-178 ◽  
Author(s):  
Steven C. Hertler

Abstract The five factor trait of conscientiousnessis a supertrait, denoting on one hand a pattern of excessive labor, rigidity, orderliness and compulsivity,and on the other hand a pattern of strict rectitude, scrupulosity, dutifulness and morality. In both respects the obsessive-compulsive personality is conscientious; indeed, it has been labeled a disorder of extreme conscientiousness (Widiger et al., 2009). Antisocial personality disorder, in the present paper, is described as occupying the opposite end of the conscientiousness continuum. The antisocial is impulsive rather than compulsive, illicit rather than licit, and furtive rather than forthright.After clinically comparing the obsessive and antisocial personalities, the present paper invokes evolutionary theory to explain their resultant behavioral, ideological, political and demographic differences.


2014 ◽  
Vol 58 (1) ◽  
pp. 13-22
Author(s):  
Roman Wituła ◽  
Edyta Hetmaniok ◽  
Damian Słota

Abstract In the paper we present the selected properties of composition relation of the convergent and divergent permutations connected with commutation. We note that a permutation on ℕ is called the convergent permutation if for each convergent series ∑an of real terms, the p-rearranged series ∑ap(n) is also convergent. All the other permutations on ℕ are called the divergent permutations. We have proven, among others, that, for many permutations p on ℕ, the family of divergent permutations q on ℕ commuting with p possesses cardinality of the continuum. For example, the permutations p on ℕ having finite order possess this property. On the other hand, an example of a convergent permutation which commutes only with some convergent permutations is also presented.


1989 ◽  
Vol 131 ◽  
pp. 226-226
Author(s):  
Sueli M. Viegas-Aldrovandi

The study of nebular continuum emission is important for several reasons (Pottasch 1984, Planetary Nebulae, Dordrecht: Reidel). First of all, it can provide information about the temperature and the density of the nebula, when the object is large enough, or when the central star is weak enough, so that the nebular continuum is easily observed without interference from the stellar continuum. On the other hand, for small planetary nebulae, both the central star and the nebula contribute to the observed continuum. In this latter case, in order to obtain the stellar continuum the theoretical nebular emission must be used. Thus, studies of the evolution of planetary nebula nuclei through the HR diagram rely on a good calculation of the theoretical nebular continuum.


1971 ◽  
Vol 11 ◽  
pp. 179-182
Author(s):  
G. I. Thompson

Starting from a digitized and calibrated stellar spectrum—what can we most usefully do with it?Traditionally a spectrum consists of two parts, a continuum and some lines. These have been variously defined in the past, so perhaps another definition may be allowed. Over large ranges the two components can be distinguished quite sharply in the spatial frequency plane. The continuum contains only low frequencies, whereas in the line the information is contained in the high frequencies. In the word “continuum” is included the instrumental absorption functions, emulsion sensitivity, wide interstellar and atmospheric bands, and even the wide wings of very strong lines. From the word “lines”, on the other hand, the strongest lines are excluded; these may contain intermediate spatial frequencies in their core regions. They are relatively infrequent and so may be treated as special cases.


Author(s):  
Steffen Nordahl Lund

The article focuses on the potential import of <strong>catastrophe</strong> <strong>theory</strong> in the study of word semantics. Thus the lexical content of the French adjective <strong>terrible</strong> is analyzed within the dynamic geometrical frame-work of the catastrophe theoretic schemata in order to apprehend, on the one hand, the continuum of similar meanings between the two senses (<em>dreadful</em>/<em>formidable</em>) of the word and, on the other hand, the discontinuous reversal between the two opposite values.


2014 ◽  
Vol 45 (1) ◽  
pp. 52-63 ◽  
Author(s):  
Steven C. Hertler

Abstract The five factor trait of conscientiousness is a supertrait, denoting on one hand a pattern of excessive labor, rigidity, orderliness and compulsivity, and on the other hand a pattern of strict rectitude, scrupulosity, dutifulness and morality. In both respects the obsessive-compulsive personality is conscientious; indeed, it has been labeled a disorder of extreme conscientiousness (Widiger et al., 2009). Antisocial personality disorder, in the present paper, is described as occupying the opposite end of the conscientiousness continuum. The antisocial is impulsive rather than compulsive, illicit rather than licit, and furtive rather than forthright.After clinically comparing the obsessive and antisocial personalities, the present paper invokes evolutionary theory to explain their resultant behavioral, ideological, political and demographic differences


1969 ◽  
Vol 22 (2) ◽  
pp. 145
Author(s):  
WK Bertram

The cross section for inelastic scattering of neutrons by medium and heavy target nuclei is derived using the quasi-compound nucleus theory. Calculations are carried out for 56Fe and 60NL The results of these calculations are compared with experiment. Agreement between theory and experiment is quite good for scattering to the continuum of high levels and to discrete levels with small spins. On the other hand the theory underestimates the scattering to levels with large spin values.


2018 ◽  
Vol 12 (1) ◽  
pp. 142-163 ◽  
Author(s):  
Gaye İlhan Demiryol

Abstract This essay explores the influence of Benjamin’s fragmentary historiography on Arendt’s understanding of narrative. I argue that Arendt and Benjamin shared a common understanding of the problems of modernity. For both thinkers contemporary conditions of existence were defined on the one hand, by a similar conception of history, and on the other hand, a break with the tradition of philosophy. I demonstrate that Benjamin’s fragmented history, adopted by Arendt in response to this contemporary politico-philosophical crisis, allowed her to redeem the past as a basis of a future-oriented philosophy by creating a space for arresting the continuum of history and asserting the importance of human agency.


1967 ◽  
Vol 28 ◽  
pp. 177-206
Author(s):  
J. B. Oke ◽  
C. A. Whitney

Pecker:The topic to be considered today is the continuous spectrum of certain stars, whose variability we attribute to a pulsation of some part of their structure. Obviously, this continuous spectrum provides a test of the pulsation theory to the extent that the continuum is completely and accurately observed and that we can analyse it to infer the structure of the star producing it. The continuum is one of the two possible spectral observations; the other is the line spectrum. It is obvious that from studies of the continuum alone, we obtain no direct information on the velocity fields in the star. We obtain information only on the thermodynamic structure of the photospheric layers of these stars–the photospheric layers being defined as those from which the observed continuum directly arises. So the problems arising in a study of the continuum are of two general kinds: completeness of observation, and adequacy of diagnostic interpretation. I will make a few comments on these, then turn the meeting over to Oke and Whitney.


1999 ◽  
Vol 173 ◽  
pp. 249-254
Author(s):  
A.M. Silva ◽  
R.D. Miró

AbstractWe have developed a model for theH2OandOHevolution in a comet outburst, assuming that together with the gas, a distribution of icy grains is ejected. With an initial mass of icy grains of 108kg released, theH2OandOHproductions are increased up to a factor two, and the growth curves change drastically in the first two days. The model is applied to eruptions detected in theOHradio monitorings and fits well with the slow variations in the flux. On the other hand, several events of short duration appear, consisting of a sudden rise ofOHflux, followed by a sudden decay on the second day. These apparent short bursts are frequently found as precursors of a more durable eruption. We suggest that both of them are part of a unique eruption, and that the sudden decay is due to collisions that de-excite theOHmaser, when it reaches the Cometopause region located at 1.35 × 105kmfrom the nucleus.


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