Abstract:We study electron-positron pair creation by the electromagnetic field of two colliding laser pulses as described by the vector potential A(t, r) = [f (ct − x) + f (ct + x)]ey. Employing the world-line instanton technique as well as a generalized WKB approach, we find that the pair creation rate along the symmetry axis x = 0 (where one would expect the maximum contribution) displays the same exponential dependence as for a purely time-dependent electric field A(t) = 2f (ct)ey. The pre-factor in front of this ex… Show more
“…WKB can also be generalised to better capture pair production by mixing the lowest order WKB ansatz with a Bogoliubov transformation. This approach was used in [670,876] to study the impact of magnetic fields on pair production in space-and-time dependent fields A(x) = (f (x − ) + f (x + )) e (with e transverse, as in plane waves) modelling colliding laser pulses.…”
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
“…WKB can also be generalised to better capture pair production by mixing the lowest order WKB ansatz with a Bogoliubov transformation. This approach was used in [670,876] to study the impact of magnetic fields on pair production in space-and-time dependent fields A(x) = (f (x − ) + f (x + )) e (with e transverse, as in plane waves) modelling colliding laser pulses.…”
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
“…WKB can also be generalised to better capture pair production by mixing the lowest order WKB ansatz with a Bogoliubov transformation. This approach was used in [684,887] to study the impact of magnetic fields on pair production in space-and-time dependent fields A(x) = (f (x − ) + f (x + )) e (with e transverse, as in plane waves) modelling colliding laser pulses.…”
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
“…Here we show how to solve the scalar and spinor mode equations ( 9) and ( 23) for the Sauter field (30) in the gauge (31), combining the scalar and spinor QED cases as…”
Section: Solution Of the Mode Equations For The Sauter Fieldmentioning
confidence: 99%
“…The evolution equations (1), (3) have turned out to be very suitable for brute-force numerical evaluation, as well as for other approximation schemes [14,[16][17][18][19][20]31]. However, their structure as integro-differential equations makes them rather intractable for attempts at closed-form analytic evaluation.…”
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD).
Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD.
The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC).
Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
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